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Finding the Fourth Proportional to 981.83, 1,471.61 and 511.97

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Solution

The fourth proportional to 981.83, 1,471.61 and 511.97 is: 767.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.83 : 1,471.61 = 511.97 : x
  2. Step 2: Convert to fraction form
    981.83/1,471.61 = 511.97/x
  3. Step 3: Cross multiply
    981.83x = 1,471.61 × 511.97
  4. Step 4: Simplify right side
    981.83x = 753,414.09
  5. Step 5: Solve for x
    x = 753,414.09/981.83
  6. Step 6: Final answer
    x = 767.36

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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.