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Finding the Fourth Proportional to 64.65, 96.42 and 58.17

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Solution

The fourth proportional to 64.65, 96.42 and 58.17 is: 86.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.65 : 96.42 = 58.17 : x
  2. Step 2: Convert to fraction form
    64.65/96.42 = 58.17/x
  3. Step 3: Cross multiply
    64.65x = 96.42 × 58.17
  4. Step 4: Simplify right side
    64.65x = 5,608.75
  5. Step 5: Solve for x
    x = 5,608.75/64.65
  6. Step 6: Final answer
    x = 86.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.