Buick also took rim width into consideration with tire size. In 63 and 64, the standard size tire for the Riviera was the 7.10 x 15. It came from the factory mounted on 5.5” wide rims. If you ordered the optional “Oversized” 7.60 x 15 tire, it came from the factory on a 6” wide rim. There’s a 1/4” difference in offset on each side for the 6” rim. This doesn’t come into play much except if you’re running the 63/64 cast aluminum wheel covers. The wheel covers are fastened to the wheel from the rear with a two ended shoulder bolt. The wider rim takes a bolt with a 1/4” wider shoulder. The cover itself is drawn tight against the shoulder, not the rim of the wheel. The “For Service Only” chart below tells you which shoulder bolt to use based on the original tire size. The part numbers in the upper right Corner are for complete assemblies, different assemblies based on wheel width. When measuring a rim, be sure to measure inside the bead, not across the outside lip to lip. I know a lot of this is rehash, but there are newbies coming our way often who have probably not run across this.
As long as we’re discussing cast aluminum covers, be advised that when the car was delivered new, there were five cast covers but only four spinners. Your spare should have a cast cover bolted to it. When rotating tires, you did not R & R the cast cover.