The Springboks remain fifth on the World Rugby rankings following their 32-30 defeat to the All Blacks at Loftus.
A win by 15-plus points would have seen the Boks move up to third in the rankings, which looked possible when they led 30-13 after 58 minutes. But the All Blacks, who top the rankings, fought back with three tries to snatch victory.
The Boks lost 0.44 ranking points, but remain ahead of Scotland in the pecking order, while the All Blacks gained 0.44 points.
The Wallabies remain seventh after their come-from-behind 45-34 win over Argentina, who are ninth.
World Rugby rankings:
1. New Zealand 92.96
2. Ireland 90.12
3. Wales 85.94
4. England 85.68
5. South Africa 83.52
6. Scotland 83.02
7. Australia 82.86
8. France 79.10
9. Argentina 78.01
10. Fiji 76.54
Full rankings
How the rankings work
Photo: Gordon Arons/Gallo Images