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Finding the Fourth Proportional to 531.69, 731.91 and 460.77

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Solution

The fourth proportional to 531.69, 731.91 and 460.77 is: 634.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.69 : 731.91 = 460.77 : x
  2. Step 2: Convert to fraction form
    531.69/731.91 = 460.77/x
  3. Step 3: Cross multiply
    531.69x = 731.91 × 460.77
  4. Step 4: Simplify right side
    531.69x = 337,242.17
  5. Step 5: Solve for x
    x = 337,242.17/531.69
  6. Step 6: Final answer
    x = 634.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.