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Finding the Fourth Proportional to 60.72, 91.17 and 57.80

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Solution

The fourth proportional to 60.72, 91.17 and 57.80 is: 86.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.72 : 91.17 = 57.80 : x
  2. Step 2: Convert to fraction form
    60.72/91.17 = 57.80/x
  3. Step 3: Cross multiply
    60.72x = 91.17 × 57.80
  4. Step 4: Simplify right side
    60.72x = 5,269.17
  5. Step 5: Solve for x
    x = 5,269.17/60.72
  6. Step 6: Final answer
    x = 86.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.