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Finding the Fourth Proportional to 62.82, 86.72 and 40.73

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Solution

The fourth proportional to 62.82, 86.72 and 40.73 is: 56.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.82 : 86.72 = 40.73 : x
  2. Step 2: Convert to fraction form
    62.82/86.72 = 40.73/x
  3. Step 3: Cross multiply
    62.82x = 86.72 × 40.73
  4. Step 4: Simplify right side
    62.82x = 3,531.47
  5. Step 5: Solve for x
    x = 3,531.47/62.82
  6. Step 6: Final answer
    x = 56.22

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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.