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Finding the Fourth Proportional to 531.97, 733.92 and 392.42

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Solution

The fourth proportional to 531.97, 733.92 and 392.42 is: 541.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.97 : 733.92 = 392.42 : x
  2. Step 2: Convert to fraction form
    531.97/733.92 = 392.42/x
  3. Step 3: Cross multiply
    531.97x = 733.92 × 392.42
  4. Step 4: Simplify right side
    531.97x = 288,003.91
  5. Step 5: Solve for x
    x = 288,003.91/531.97
  6. Step 6: Final answer
    x = 541.39

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1.5x scale

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.