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Finding the Fourth Proportional to 542.56, 812.76 and 439.32

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Solution

The fourth proportional to 542.56, 812.76 and 439.32 is: 658.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.56 : 812.76 = 439.32 : x
  2. Step 2: Convert to fraction form
    542.56/812.76 = 439.32/x
  3. Step 3: Cross multiply
    542.56x = 812.76 × 439.32
  4. Step 4: Simplify right side
    542.56x = 357,061.72
  5. Step 5: Solve for x
    x = 357,061.72/542.56
  6. Step 6: Final answer
    x = 658.11

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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.