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Finding the Fourth Proportional to 542.46, 748.68 and 395.04

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Solution

The fourth proportional to 542.46, 748.68 and 395.04 is: 545.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.46 : 748.68 = 395.04 : x
  2. Step 2: Convert to fraction form
    542.46/748.68 = 395.04/x
  3. Step 3: Cross multiply
    542.46x = 748.68 × 395.04
  4. Step 4: Simplify right side
    542.46x = 295,758.55
  5. Step 5: Solve for x
    x = 295,758.55/542.46
  6. Step 6: Final answer
    x = 545.22

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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.