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Finding the Fourth Proportional to 1,191.31, 1,644 and 660.24

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Solution

The fourth proportional to 1,191.31, 1,644 and 660.24 is: 911.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.31 : 1,644 = 660.24 : x
  2. Step 2: Convert to fraction form
    1,191.31/1,644 = 660.24/x
  3. Step 3: Cross multiply
    1,191.31x = 1,644 × 660.24
  4. Step 4: Simplify right side
    1,191.31x = 1,085,434.56
  5. Step 5: Solve for x
    x = 1,085,434.56/1,191.31
  6. Step 6: Final answer
    x = 911.13

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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.