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Finding the Fourth Proportional to 57.54, 78.75 and 55.71

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Solution

The fourth proportional to 57.54, 78.75 and 55.71 is: 76.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.54 : 78.75 = 55.71 : x
  2. Step 2: Convert to fraction form
    57.54/78.75 = 55.71/x
  3. Step 3: Cross multiply
    57.54x = 78.75 × 55.71
  4. Step 4: Simplify right side
    57.54x = 4,387.16
  5. Step 5: Solve for x
    x = 4,387.16/57.54
  6. Step 6: Final answer
    x = 76.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.