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Finding the Fourth Proportional to 57.72, 86.24 and 50.79

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Solution

The fourth proportional to 57.72, 86.24 and 50.79 is: 75.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.72 : 86.24 = 50.79 : x
  2. Step 2: Convert to fraction form
    57.72/86.24 = 50.79/x
  3. Step 3: Cross multiply
    57.72x = 86.24 × 50.79
  4. Step 4: Simplify right side
    57.72x = 4,379.88
  5. Step 5: Solve for x
    x = 4,379.88/57.72
  6. Step 6: Final answer
    x = 75.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.