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Finding the Fourth Proportional to 652.91, 979.43 and 165.97

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Solution

The fourth proportional to 652.91, 979.43 and 165.97 is: 248.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.91 : 979.43 = 165.97 : x
  2. Step 2: Convert to fraction form
    652.91/979.43 = 165.97/x
  3. Step 3: Cross multiply
    652.91x = 979.43 × 165.97
  4. Step 4: Simplify right side
    652.91x = 162,553.96
  5. Step 5: Solve for x
    x = 162,553.96/652.91
  6. Step 6: Final answer
    x = 248.97

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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.