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Finding the Fourth Proportional to 542.71, 748.74 and 346.15

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Solution

The fourth proportional to 542.71, 748.74 and 346.15 is: 477.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.71 : 748.74 = 346.15 : x
  2. Step 2: Convert to fraction form
    542.71/748.74 = 346.15/x
  3. Step 3: Cross multiply
    542.71x = 748.74 × 346.15
  4. Step 4: Simplify right side
    542.71x = 259,176.35
  5. Step 5: Solve for x
    x = 259,176.35/542.71
  6. Step 6: Final answer
    x = 477.56

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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.