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Finding the Fourth Proportional to 1,251.12, 1,724.72 and 876.97

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Solution

The fourth proportional to 1,251.12, 1,724.72 and 876.97 is: 1,208.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.12 : 1,724.72 = 876.97 : x
  2. Step 2: Convert to fraction form
    1,251.12/1,724.72 = 876.97/x
  3. Step 3: Cross multiply
    1,251.12x = 1,724.72 × 876.97
  4. Step 4: Simplify right side
    1,251.12x = 1,512,523.31
  5. Step 5: Solve for x
    x = 1,512,523.31/1,251.12
  6. Step 6: Final answer
    x = 1,208.94

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1.5x scale

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.