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Finding the Fourth Proportional to 542.74, 748.52 and 335.38

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Solution

The fourth proportional to 542.74, 748.52 and 335.38 is: 462.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.74 : 748.52 = 335.38 : x
  2. Step 2: Convert to fraction form
    542.74/748.52 = 335.38/x
  3. Step 3: Cross multiply
    542.74x = 748.52 × 335.38
  4. Step 4: Simplify right side
    542.74x = 251,038.64
  5. Step 5: Solve for x
    x = 251,038.64/542.74
  6. Step 6: Final answer
    x = 462.54

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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.