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Finding the Fourth Proportional to 676.38, 1,013.91 and 329.70

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Solution

The fourth proportional to 676.38, 1,013.91 and 329.70 is: 494.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.38 : 1,013.91 = 329.70 : x
  2. Step 2: Convert to fraction form
    676.38/1,013.91 = 329.70/x
  3. Step 3: Cross multiply
    676.38x = 1,013.91 × 329.70
  4. Step 4: Simplify right side
    676.38x = 334,286.13
  5. Step 5: Solve for x
    x = 334,286.13/676.38
  6. Step 6: Final answer
    x = 494.23

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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.