Salaams Bros & sis,
All of us know about golden ratio. value is 1.61803 . for more details see
http://en.wikipedia.org/wiki/Golden_ratio
now if we check the latitude values of great Kaaba is like that.
[Using Google Earth]
Equator to Kaba 21.25
South pole to Equator 90
So South Pole to Kaba = 90+21.25 =111.25 (a)
South ploe to North Pole =180
So North pole to Kaba =68.75 (b)
Ratio = a/a+b
= 111.25/68.75+111.25
= 111.25/180
= 1.617977528
Golden Ratio =1.618033989
deference = 1.618033989 -1.617977528
= 0.00005646
Allah know the best.