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Finding the Fourth Proportional to 1,191.64, 1,644.41 and 660.49

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Solution

The fourth proportional to 1,191.64, 1,644.41 and 660.49 is: 911.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.64 : 1,644.41 = 660.49 : x
  2. Step 2: Convert to fraction form
    1,191.64/1,644.41 = 660.49/x
  3. Step 3: Cross multiply
    1,191.64x = 1,644.41 × 660.49
  4. Step 4: Simplify right side
    1,191.64x = 1,086,116.36
  5. Step 5: Solve for x
    x = 1,086,116.36/1,191.64
  6. Step 6: Final answer
    x = 911.45

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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.