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Finding the Fourth Proportional to 70.97, 97.67 and 62.78

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Solution

The fourth proportional to 70.97, 97.67 and 62.78 is: 86.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.97 : 97.67 = 62.78 : x
  2. Step 2: Convert to fraction form
    70.97/97.67 = 62.78/x
  3. Step 3: Cross multiply
    70.97x = 97.67 × 62.78
  4. Step 4: Simplify right side
    70.97x = 6,131.41
  5. Step 5: Solve for x
    x = 6,131.41/70.97
  6. Step 6: Final answer
    x = 86.39

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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.