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Finding the Fourth Proportional to 47.75, 71.17 and 45.43

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Solution

The fourth proportional to 47.75, 71.17 and 45.43 is: 67.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.75 : 71.17 = 45.43 : x
  2. Step 2: Convert to fraction form
    47.75/71.17 = 45.43/x
  3. Step 3: Cross multiply
    47.75x = 71.17 × 45.43
  4. Step 4: Simplify right side
    47.75x = 3,232.96
  5. Step 5: Solve for x
    x = 3,232.96/47.75
  6. Step 6: Final answer
    x = 67.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.