Home / 1,251.14-1,727.23-809.29

Finding the Fourth Proportional to 1,251.14, 1,727.23 and 809.29

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Solution

The fourth proportional to 1,251.14, 1,727.23 and 809.29 is: 1,117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.14 : 1,727.23 = 809.29 : x
  2. Step 2: Convert to fraction form
    1,251.14/1,727.23 = 809.29/x
  3. Step 3: Cross multiply
    1,251.14x = 1,727.23 × 809.29
  4. Step 4: Simplify right side
    1,251.14x = 1,397,829.97
  5. Step 5: Solve for x
    x = 1,397,829.97/1,251.14
  6. Step 6: Final answer
    x = 1,117.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.