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Finding the Fourth Proportional to 717.38, 989.76 and 402.61

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Solution

The fourth proportional to 717.38, 989.76 and 402.61 is: 555.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.38 : 989.76 = 402.61 : x
  2. Step 2: Convert to fraction form
    717.38/989.76 = 402.61/x
  3. Step 3: Cross multiply
    717.38x = 989.76 × 402.61
  4. Step 4: Simplify right side
    717.38x = 398,487.27
  5. Step 5: Solve for x
    x = 398,487.27/717.38
  6. Step 6: Final answer
    x = 555.48

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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.