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Finding the Fourth Proportional to 542.50, 748.28 and 392.86

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Solution

The fourth proportional to 542.50, 748.28 and 392.86 is: 541.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.50 : 748.28 = 392.86 : x
  2. Step 2: Convert to fraction form
    542.50/748.28 = 392.86/x
  3. Step 3: Cross multiply
    542.50x = 748.28 × 392.86
  4. Step 4: Simplify right side
    542.50x = 293,971.20
  5. Step 5: Solve for x
    x = 293,971.20/542.50
  6. Step 6: Final answer
    x = 541.88

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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.