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Finding the Fourth Proportional to 57, 78.71 and 44.13

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Solution

The fourth proportional to 57, 78.71 and 44.13 is: 60.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57 : 78.71 = 44.13 : x
  2. Step 2: Convert to fraction form
    57/78.71 = 44.13/x
  3. Step 3: Cross multiply
    57x = 78.71 × 44.13
  4. Step 4: Simplify right side
    57x = 3,473.25
  5. Step 5: Solve for x
    x = 3,473.25/57
  6. Step 6: Final answer
    x = 60.93

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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.