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Finding the Fourth Proportional to 1,251.07, 1,727.10 and 809.33

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Solution

The fourth proportional to 1,251.07, 1,727.10 and 809.33 is: 1,117.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.07 : 1,727.10 = 809.33 : x
  2. Step 2: Convert to fraction form
    1,251.07/1,727.10 = 809.33/x
  3. Step 3: Cross multiply
    1,251.07x = 1,727.10 × 809.33
  4. Step 4: Simplify right side
    1,251.07x = 1,397,785.21
  5. Step 5: Solve for x
    x = 1,397,785.21/1,251.07
  6. Step 6: Final answer
    x = 1,117.27

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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.