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Finding the Fourth Proportional to 1,286.78, 1,930.17 and 556.70

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Solution

The fourth proportional to 1,286.78, 1,930.17 and 556.70 is: 835.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.78 : 1,930.17 = 556.70 : x
  2. Step 2: Convert to fraction form
    1,286.78/1,930.17 = 556.70/x
  3. Step 3: Cross multiply
    1,286.78x = 1,930.17 × 556.70
  4. Step 4: Simplify right side
    1,286.78x = 1,074,525.64
  5. Step 5: Solve for x
    x = 1,074,525.64/1,286.78
  6. Step 6: Final answer
    x = 835.05

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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.