Jack L. Bour of McLean has watched his real estate taxes climb from $293 in 1956 to $1,172 today. Ames W. Williams of Mount Vernon fears he will have to move out of the area he has lived in for 40 years because he cannot afford the rising taxes on his home. And Doris Ardizzione of Franconia wonders why her husband is working "just to pay more taxes everywhere we turn."

Bour, Williams and Ardizzione are only three of hundreds of Fairfax County residents who have been besieging county supervisors and the county's office of assessments in recent days for relief from rising tax bills on their homes.

Last week alone, the assessments office registered more than 450 calls a day from county homeowners complaining about increases in assessed value of their homes.

An increased assessed value on a home, as every homeowner knows, means a higher tax bill. Assessments have been increased an average of 8.7 percent countywide this year. This means that at the current real estate tax rate of $1.74 for each $100 of assessed value, the owner of a typical Fairfax house valued at $69,000 would pay $1,305 in taxes this year compared to $1,201 last year.

The staggering number of complaints the county is receiving about assessment notices comes at a time when the Board of Supervisors has decided not to raise the current tax rate. But that fact provides little comfort for most taxpayers.

"Everybody knows keeping the same rate means nothing," said Ardizzione. "It's just ridiculous the way assessments keep going up. Where is it going to end?"

In some cases, owners of detached, single-family homes are receiving notices that the value of their property has increased by as much as 10 to 20 percent. The value of a detached home - which makes up 80 percent of taxable real estate in Fairfax County - generally rises faster than the value of condominiums, town houses, commercial property and vacant land.

Bour, 72 is a retired Navy man who lives on $12,200 a year in retirement and Social Security payments. In a letter to Fairfax board chairman John F. Herrity he said the McLean house he built in 1956 was recently reassessed for $7,435 more than last years $71,995 - an increase of more than 10 percent.

"Any amount of relief may permit me and others to keep their homes that they have lived in for so many years and not have to sell because of ever increasing real estate taxes," Bour's letter said.

Williams, a federal government retiree, said a letter to Supervisor Audrey Moore (D-Annandale) that more than half of his fixed income goes to taxes and that a $10,000 assessed value, making it worth $75,000, was "the last straw."

"It's off to Florida or Arizona now I guess," he said. "And there are plenty more on my block just like me."

Even board member John P. Shacochis (R-Draneville) is complaining about an 11 percent increase in the assessed value of his home, bringing it to about $76,000.

Even board member John P. Shacochis (R-Draneville) is complaining about an 11 percent increase in the assessed value of his home, bringing it to about $76,000.

(Supervisor of Assessments) Sam Patteson told me I should be proud with the prestige of being the supervisor with the highest assessed value on his home," Shacochis said. "I told him I can't butter bread with prestige."

Joseph T. Hix, supervising appraiser in the county's office of assesments, attributed Fairfax homeowners' complaints about higher assessments to the high cost of living.

"These days everything is up - groceries, gas, federal taxes, and everybody feels helpless to do anything about it," Hix said. "But they (Fairfax homeowners) know the source when it comes to local assassments, and they don't waste any time getting to me."

Another county official said county tax appraisals on homes generally run lower than commercial appraisals on the same properties since items like washing machines, dish-washers, curtain rods and other furnishings are not assessed.

"Ask anybody who's complaining about their assessments if they'd sell their house for that and they'd sell their house for that and they'd tell you, 'oh no, it's worth a lot more than that,'" he said.