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Finding the Fourth Proportional to 58.73, 80.52 and 57.71

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Solution

The fourth proportional to 58.73, 80.52 and 57.71 is: 79.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.73 : 80.52 = 57.71 : x
  2. Step 2: Convert to fraction form
    58.73/80.52 = 57.71/x
  3. Step 3: Cross multiply
    58.73x = 80.52 × 57.71
  4. Step 4: Simplify right side
    58.73x = 4,646.19
  5. Step 5: Solve for x
    x = 4,646.19/58.73
  6. Step 6: Final answer
    x = 79.12

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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.