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Finding the Fourth Proportional to 1,251.10, 1,726.57 and 830.73

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Solution

The fourth proportional to 1,251.10, 1,726.57 and 830.73 is: 1,146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.10 : 1,726.57 = 830.73 : x
  2. Step 2: Convert to fraction form
    1,251.10/1,726.57 = 830.73/x
  3. Step 3: Cross multiply
    1,251.10x = 1,726.57 × 830.73
  4. Step 4: Simplify right side
    1,251.10x = 1,434,308.96
  5. Step 5: Solve for x
    x = 1,434,308.96/1,251.10
  6. Step 6: Final answer
    x = 1,146.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.