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Finding the Fourth Proportional to 1,191.28, 1,786.72 and 411.28

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Solution

The fourth proportional to 1,191.28, 1,786.72 and 411.28 is: 616.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.28 : 1,786.72 = 411.28 : x
  2. Step 2: Convert to fraction form
    1,191.28/1,786.72 = 411.28/x
  3. Step 3: Cross multiply
    1,191.28x = 1,786.72 × 411.28
  4. Step 4: Simplify right side
    1,191.28x = 734,842.20
  5. Step 5: Solve for x
    x = 734,842.20/1,191.28
  6. Step 6: Final answer
    x = 616.85

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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.