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Finding the Fourth Proportional to 839.28, 1,251.40 and 807.18

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Solution

The fourth proportional to 839.28, 1,251.40 and 807.18 is: 1,203.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.28 : 1,251.40 = 807.18 : x
  2. Step 2: Convert to fraction form
    839.28/1,251.40 = 807.18/x
  3. Step 3: Cross multiply
    839.28x = 1,251.40 × 807.18
  4. Step 4: Simplify right side
    839.28x = 1,010,105.05
  5. Step 5: Solve for x
    x = 1,010,105.05/839.28
  6. Step 6: Final answer
    x = 1,203.54

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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.