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Finding the Fourth Proportional to 57.80, 80.10 and 56.72

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Solution

The fourth proportional to 57.80, 80.10 and 56.72 is: 78.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.80 : 80.10 = 56.72 : x
  2. Step 2: Convert to fraction form
    57.80/80.10 = 56.72/x
  3. Step 3: Cross multiply
    57.80x = 80.10 × 56.72
  4. Step 4: Simplify right side
    57.80x = 4,542.98
  5. Step 5: Solve for x
    x = 4,542.98/57.80
  6. Step 6: Final answer
    x = 78.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.