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Finding the Fourth Proportional to 543.52, 814.20 and 461.80

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Solution

The fourth proportional to 543.52, 814.20 and 461.80 is: 691.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.52 : 814.20 = 461.80 : x
  2. Step 2: Convert to fraction form
    543.52/814.20 = 461.80/x
  3. Step 3: Cross multiply
    543.52x = 814.20 × 461.80
  4. Step 4: Simplify right side
    543.52x = 375,997.56
  5. Step 5: Solve for x
    x = 375,997.56/543.52
  6. Step 6: Final answer
    x = 691.78

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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.