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Finding the Fourth Proportional to 64.90, 96.79 and 58.42

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Solution

The fourth proportional to 64.90, 96.79 and 58.42 is: 87.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.90 : 96.79 = 58.42 : x
  2. Step 2: Convert to fraction form
    64.90/96.79 = 58.42/x
  3. Step 3: Cross multiply
    64.90x = 96.79 × 58.42
  4. Step 4: Simplify right side
    64.90x = 5,654.47
  5. Step 5: Solve for x
    x = 5,654.47/64.90
  6. Step 6: Final answer
    x = 87.13

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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.