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Finding the Fourth Proportional to 1,247.61, 1,871.90 and 517

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Solution

The fourth proportional to 1,247.61, 1,871.90 and 517 is: 775.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.61 : 1,871.90 = 517 : x
  2. Step 2: Convert to fraction form
    1,247.61/1,871.90 = 517/x
  3. Step 3: Cross multiply
    1,247.61x = 1,871.90 × 517
  4. Step 4: Simplify right side
    1,247.61x = 967,772.30
  5. Step 5: Solve for x
    x = 967,772.30/1,247.61
  6. Step 6: Final answer
    x = 775.70

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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.