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Finding the Fourth Proportional to 542.34, 814.05 and 421.92

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Solution

The fourth proportional to 542.34, 814.05 and 421.92 is: 633.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.34 : 814.05 = 421.92 : x
  2. Step 2: Convert to fraction form
    542.34/814.05 = 421.92/x
  3. Step 3: Cross multiply
    542.34x = 814.05 × 421.92
  4. Step 4: Simplify right side
    542.34x = 343,463.98
  5. Step 5: Solve for x
    x = 343,463.98/542.34
  6. Step 6: Final answer
    x = 633.30

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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.