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Finding the Fourth Proportional to 981.77, 1,471.39 and 819.77

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Solution

The fourth proportional to 981.77, 1,471.39 and 819.77 is: 1,228.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.77 : 1,471.39 = 819.77 : x
  2. Step 2: Convert to fraction form
    981.77/1,471.39 = 819.77/x
  3. Step 3: Cross multiply
    981.77x = 1,471.39 × 819.77
  4. Step 4: Simplify right side
    981.77x = 1,206,191.97
  5. Step 5: Solve for x
    x = 1,206,191.97/981.77
  6. Step 6: Final answer
    x = 1,228.60

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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.