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Finding the Fourth Proportional to 542.76, 812.16 and 477.46

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Solution

The fourth proportional to 542.76, 812.16 and 477.46 is: 714.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.76 : 812.16 = 477.46 : x
  2. Step 2: Convert to fraction form
    542.76/812.16 = 477.46/x
  3. Step 3: Cross multiply
    542.76x = 812.16 × 477.46
  4. Step 4: Simplify right side
    542.76x = 387,773.91
  5. Step 5: Solve for x
    x = 387,773.91/542.76
  6. Step 6: Final answer
    x = 714.45

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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.