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Finding the Fourth Proportional to 71.49, 98.60 and 45.57

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Solution

The fourth proportional to 71.49, 98.60 and 45.57 is: 62.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.49 : 98.60 = 45.57 : x
  2. Step 2: Convert to fraction form
    71.49/98.60 = 45.57/x
  3. Step 3: Cross multiply
    71.49x = 98.60 × 45.57
  4. Step 4: Simplify right side
    71.49x = 4,493.20
  5. Step 5: Solve for x
    x = 4,493.20/71.49
  6. Step 6: Final answer
    x = 62.85

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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.