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Finding the Fourth Proportional to 839.43, 1,251.64 and 809.42

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Solution

The fourth proportional to 839.43, 1,251.64 and 809.42 is: 1,206.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.43 : 1,251.64 = 809.42 : x
  2. Step 2: Convert to fraction form
    839.43/1,251.64 = 809.42/x
  3. Step 3: Cross multiply
    839.43x = 1,251.64 × 809.42
  4. Step 4: Simplify right side
    839.43x = 1,013,097.20
  5. Step 5: Solve for x
    x = 1,013,097.20/839.43
  6. Step 6: Final answer
    x = 1,206.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.