Finding the Fourth Proportional to 1,152.74, 1,729.37 and 422.31
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Solution
The fourth proportional to 1,152.74, 1,729.37 and 422.31 is: 633.56
Step by Step Solution
- Step 1: Write the proportion equation
1,152.74 : 1,729.37 = 422.31 : x - Step 2: Convert to fraction form
1,152.74/1,729.37 = 422.31/x - Step 3: Cross multiply
1,152.74x = 1,729.37 × 422.31 - Step 4: Simplify right side
1,152.74x = 730,328.13 - Step 5: Solve for x
x = 730,328.13/1,152.74 - Step 6: Final answer
x = 633.56
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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.