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Finding the Fourth Proportional to 1,191.97, 1,789.11 and 576.11

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Solution

The fourth proportional to 1,191.97, 1,789.11 and 576.11 is: 864.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.97 : 1,789.11 = 576.11 : x
  2. Step 2: Convert to fraction form
    1,191.97/1,789.11 = 576.11/x
  3. Step 3: Cross multiply
    1,191.97x = 1,789.11 × 576.11
  4. Step 4: Simplify right side
    1,191.97x = 1,030,712.34
  5. Step 5: Solve for x
    x = 1,030,712.34/1,191.97
  6. Step 6: Final answer
    x = 864.71

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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.