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Finding the Fourth Proportional to 71.74, 98.97 and 57.90

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Solution

The fourth proportional to 71.74, 98.97 and 57.90 is: 79.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.74 : 98.97 = 57.90 : x
  2. Step 2: Convert to fraction form
    71.74/98.97 = 57.90/x
  3. Step 3: Cross multiply
    71.74x = 98.97 × 57.90
  4. Step 4: Simplify right side
    71.74x = 5,730.29
  5. Step 5: Solve for x
    x = 5,730.29/71.74
  6. Step 6: Final answer
    x = 79.88

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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.