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Finding the Fourth Proportional to 1,247.25, 1,871.16 and 699.81

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Solution

The fourth proportional to 1,247.25, 1,871.16 and 699.81 is: 1,049.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.25 : 1,871.16 = 699.81 : x
  2. Step 2: Convert to fraction form
    1,247.25/1,871.16 = 699.81/x
  3. Step 3: Cross multiply
    1,247.25x = 1,871.16 × 699.81
  4. Step 4: Simplify right side
    1,247.25x = 1,309,456.48
  5. Step 5: Solve for x
    x = 1,309,456.48/1,247.25
  6. Step 6: Final answer
    x = 1,049.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.