Finding the Fourth Proportional to 497.10, 748.97 and 457.74
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Solution
The fourth proportional to 497.10, 748.97 and 457.74 is: 689.66
Step by Step Solution
- Step 1: Write the proportion equation
497.10 : 748.97 = 457.74 : x - Step 2: Convert to fraction form
497.10/748.97 = 457.74/x - Step 3: Cross multiply
497.10x = 748.97 × 457.74 - Step 4: Simplify right side
497.10x = 342,831.24 - Step 5: Solve for x
x = 342,831.24/497.10 - Step 6: Final answer
x = 689.66
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.