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Finding the Fourth Proportional to 65.66, 98.72 and 62.96

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Solution

The fourth proportional to 65.66, 98.72 and 62.96 is: 94.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.66 : 98.72 = 62.96 : x
  2. Step 2: Convert to fraction form
    65.66/98.72 = 62.96/x
  3. Step 3: Cross multiply
    65.66x = 98.72 × 62.96
  4. Step 4: Simplify right side
    65.66x = 6,215.41
  5. Step 5: Solve for x
    x = 6,215.41/65.66
  6. Step 6: Final answer
    x = 94.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.