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Finding the Fourth Proportional to 542.68, 748.50 and 335.56

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Solution

The fourth proportional to 542.68, 748.50 and 335.56 is: 462.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.68 : 748.50 = 335.56 : x
  2. Step 2: Convert to fraction form
    542.68/748.50 = 335.56/x
  3. Step 3: Cross multiply
    542.68x = 748.50 × 335.56
  4. Step 4: Simplify right side
    542.68x = 251,166.66
  5. Step 5: Solve for x
    x = 251,166.66/542.68
  6. Step 6: Final answer
    x = 462.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.