Finding the Fourth Proportional to 906.63, 1,358.99 and 420
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Solution
The fourth proportional to 906.63, 1,358.99 and 420 is: 629.56
Step by Step Solution
- Step 1: Write the proportion equation
906.63 : 1,358.99 = 420 : x - Step 2: Convert to fraction form
906.63/1,358.99 = 420/x - Step 3: Cross multiply
906.63x = 1,358.99 × 420 - Step 4: Simplify right side
906.63x = 570,775.80 - Step 5: Solve for x
x = 570,775.80/906.63 - Step 6: Final answer
x = 629.56
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.