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Finding the Fourth Proportional to 1,247.52, 1,871.46 and 517.20

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Solution

The fourth proportional to 1,247.52, 1,871.46 and 517.20 is: 775.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.52 : 1,871.46 = 517.20 : x
  2. Step 2: Convert to fraction form
    1,247.52/1,871.46 = 517.20/x
  3. Step 3: Cross multiply
    1,247.52x = 1,871.46 × 517.20
  4. Step 4: Simplify right side
    1,247.52x = 967,919.11
  5. Step 5: Solve for x
    x = 967,919.11/1,247.52
  6. Step 6: Final answer
    x = 775.87

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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.