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Finding the Fourth Proportional to 1,286.87, 1,930.66 and 556.29

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Solution

The fourth proportional to 1,286.87, 1,930.66 and 556.29 is: 834.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.87 : 1,930.66 = 556.29 : x
  2. Step 2: Convert to fraction form
    1,286.87/1,930.66 = 556.29/x
  3. Step 3: Cross multiply
    1,286.87x = 1,930.66 × 556.29
  4. Step 4: Simplify right side
    1,286.87x = 1,074,005.46
  5. Step 5: Solve for x
    x = 1,074,005.46/1,286.87
  6. Step 6: Final answer
    x = 834.59

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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.