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Finding the Fourth Proportional to 59.27, 81.71 and 57.72

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Solution

The fourth proportional to 59.27, 81.71 and 57.72 is: 79.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.27 : 81.71 = 57.72 : x
  2. Step 2: Convert to fraction form
    59.27/81.71 = 57.72/x
  3. Step 3: Cross multiply
    59.27x = 81.71 × 57.72
  4. Step 4: Simplify right side
    59.27x = 4,716.30
  5. Step 5: Solve for x
    x = 4,716.30/59.27
  6. Step 6: Final answer
    x = 79.57

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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.