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Finding the Fourth Proportional to 1,286.73, 1,930.10 and 517.23

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Solution

The fourth proportional to 1,286.73, 1,930.10 and 517.23 is: 775.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.73 : 1,930.10 = 517.23 : x
  2. Step 2: Convert to fraction form
    1,286.73/1,930.10 = 517.23/x
  3. Step 3: Cross multiply
    1,286.73x = 1,930.10 × 517.23
  4. Step 4: Simplify right side
    1,286.73x = 998,303.04
  5. Step 5: Solve for x
    x = 998,303.04/1,286.73
  6. Step 6: Final answer
    x = 775.85

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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.