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Finding the Fourth Proportional to 981.41, 1,471.57 and 519.11

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Solution

The fourth proportional to 981.41, 1,471.57 and 519.11 is: 778.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.41 : 1,471.57 = 519.11 : x
  2. Step 2: Convert to fraction form
    981.41/1,471.57 = 519.11/x
  3. Step 3: Cross multiply
    981.41x = 1,471.57 × 519.11
  4. Step 4: Simplify right side
    981.41x = 763,906.70
  5. Step 5: Solve for x
    x = 763,906.70/981.41
  6. Step 6: Final answer
    x = 778.38

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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.