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Finding the Fourth Proportional to 64.66, 89.17 and 61.42

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Solution

The fourth proportional to 64.66, 89.17 and 61.42 is: 84.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.66 : 89.17 = 61.42 : x
  2. Step 2: Convert to fraction form
    64.66/89.17 = 61.42/x
  3. Step 3: Cross multiply
    64.66x = 89.17 × 61.42
  4. Step 4: Simplify right side
    64.66x = 5,476.82
  5. Step 5: Solve for x
    x = 5,476.82/64.66
  6. Step 6: Final answer
    x = 84.70

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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.