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Finding the Fourth Proportional to 542.50, 748.74 and 425.86

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Solution

The fourth proportional to 542.50, 748.74 and 425.86 is: 587.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.50 : 748.74 = 425.86 : x
  2. Step 2: Convert to fraction form
    542.50/748.74 = 425.86/x
  3. Step 3: Cross multiply
    542.50x = 748.74 × 425.86
  4. Step 4: Simplify right side
    542.50x = 318,858.14
  5. Step 5: Solve for x
    x = 318,858.14/542.50
  6. Step 6: Final answer
    x = 587.76

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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.