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Finding the Fourth Proportional to 1,191.56, 1,641.92 and 911.79

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Solution

The fourth proportional to 1,191.56, 1,641.92 and 911.79 is: 1,256.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.56 : 1,641.92 = 911.79 : x
  2. Step 2: Convert to fraction form
    1,191.56/1,641.92 = 911.79/x
  3. Step 3: Cross multiply
    1,191.56x = 1,641.92 × 911.79
  4. Step 4: Simplify right side
    1,191.56x = 1,497,081.68
  5. Step 5: Solve for x
    x = 1,497,081.68/1,191.56
  6. Step 6: Final answer
    x = 1,256.41

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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.