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Finding the Fourth Proportional to 1,178.62, 1,769.24 and 830.52

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Solution

The fourth proportional to 1,178.62, 1,769.24 and 830.52 is: 1,246.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.62 : 1,769.24 = 830.52 : x
  2. Step 2: Convert to fraction form
    1,178.62/1,769.24 = 830.52/x
  3. Step 3: Cross multiply
    1,178.62x = 1,769.24 × 830.52
  4. Step 4: Simplify right side
    1,178.62x = 1,469,391.28
  5. Step 5: Solve for x
    x = 1,469,391.28/1,178.62
  6. Step 6: Final answer
    x = 1,246.71

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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.