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Finding the Fourth Proportional to 527.96, 728.29 and 331.13

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Solution

The fourth proportional to 527.96, 728.29 and 331.13 is: 456.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.96 : 728.29 = 331.13 : x
  2. Step 2: Convert to fraction form
    527.96/728.29 = 331.13/x
  3. Step 3: Cross multiply
    527.96x = 728.29 × 331.13
  4. Step 4: Simplify right side
    527.96x = 241,160.90
  5. Step 5: Solve for x
    x = 241,160.90/527.96
  6. Step 6: Final answer
    x = 456.78

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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.