Derive color palette from given set of colors

I have a set of colors on a webpage where one color is the main one:

#864062 <-- main color
#853f61
#925071
#541c38

#64304A
#eac9d7

Now I would like to derive similar color scheme for any arbitrary main color.

My idea was to:

1. Convert all colors to decimal notation (r, g, b)


2. Calculate ratio of individual components for each other color and main color


3. Use these rates as a conversion matrix for any other main color.

For my example, rgb of individual colors is:

134  64  98
133  63  97
146  80 113
84   28  56
100  48  74
234 201 215

Ratio of each component (other color / main color):

0.99 0.98 0.99

1.09 1.25 1.15
0.63 0.44 0.57
0.75 0.75 0.76
1.75 3.14 2.19

Now for any new main color I can calculate all the other colors:

100 100 100 <-- new main color
 99  98  99
109 125 115
 63  44  57

 75  75  76
175 255 219 (max is 255, cannot have 314)

My question is if this way of calculation makes any sense as I have never done any math with colors before.