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Finding the Fourth Proportional to 542.68, 814.38 and 420.52

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Solution

The fourth proportional to 542.68, 814.38 and 420.52 is: 631.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.68 : 814.38 = 420.52 : x
  2. Step 2: Convert to fraction form
    542.68/814.38 = 420.52/x
  3. Step 3: Cross multiply
    542.68x = 814.38 × 420.52
  4. Step 4: Simplify right side
    542.68x = 342,463.08
  5. Step 5: Solve for x
    x = 342,463.08/542.68
  6. Step 6: Final answer
    x = 631.06

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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.