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Finding the Fourth Proportional to 57.62, 78.96 and 57.53

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Solution

The fourth proportional to 57.62, 78.96 and 57.53 is: 78.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.62 : 78.96 = 57.53 : x
  2. Step 2: Convert to fraction form
    57.62/78.96 = 57.53/x
  3. Step 3: Cross multiply
    57.62x = 78.96 × 57.53
  4. Step 4: Simplify right side
    57.62x = 4,542.28
  5. Step 5: Solve for x
    x = 4,542.28/57.62
  6. Step 6: Final answer
    x = 78.83

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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.