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Finding the Fourth Proportional to 542.46, 747.39 and 384.78

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Solution

The fourth proportional to 542.46, 747.39 and 384.78 is: 530.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.46 : 747.39 = 384.78 : x
  2. Step 2: Convert to fraction form
    542.46/747.39 = 384.78/x
  3. Step 3: Cross multiply
    542.46x = 747.39 × 384.78
  4. Step 4: Simplify right side
    542.46x = 287,580.72
  5. Step 5: Solve for x
    x = 287,580.72/542.46
  6. Step 6: Final answer
    x = 530.14

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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.