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Finding the Fourth Proportional to 57.76, 86.52 and 53.32

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Solution

The fourth proportional to 57.76, 86.52 and 53.32 is: 79.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.76 : 86.52 = 53.32 : x
  2. Step 2: Convert to fraction form
    57.76/86.52 = 53.32/x
  3. Step 3: Cross multiply
    57.76x = 86.52 × 53.32
  4. Step 4: Simplify right side
    57.76x = 4,613.25
  5. Step 5: Solve for x
    x = 4,613.25/57.76
  6. Step 6: Final answer
    x = 79.87

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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.