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Finding the Fourth Proportional to 1,286.92, 1,930.14 and 517

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Solution

The fourth proportional to 1,286.92, 1,930.14 and 517 is: 775.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.92 : 1,930.14 = 517 : x
  2. Step 2: Convert to fraction form
    1,286.92/1,930.14 = 517/x
  3. Step 3: Cross multiply
    1,286.92x = 1,930.14 × 517
  4. Step 4: Simplify right side
    1,286.92x = 997,882.38
  5. Step 5: Solve for x
    x = 997,882.38/1,286.92
  6. Step 6: Final answer
    x = 775.40

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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.