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Finding the Fourth Proportional to 981.14, 1,471.20 and 519.18

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Solution

The fourth proportional to 981.14, 1,471.20 and 519.18 is: 778.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.14 : 1,471.20 = 519.18 : x
  2. Step 2: Convert to fraction form
    981.14/1,471.20 = 519.18/x
  3. Step 3: Cross multiply
    981.14x = 1,471.20 × 519.18
  4. Step 4: Simplify right side
    981.14x = 763,817.62
  5. Step 5: Solve for x
    x = 763,817.62/981.14
  6. Step 6: Final answer
    x = 778.50

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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.