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Finding the Fourth Proportional to 1,191.59, 1,644.86 and 725.75

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Solution

The fourth proportional to 1,191.59, 1,644.86 and 725.75 is: 1,001.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.59 : 1,644.86 = 725.75 : x
  2. Step 2: Convert to fraction form
    1,191.59/1,644.86 = 725.75/x
  3. Step 3: Cross multiply
    1,191.59x = 1,644.86 × 725.75
  4. Step 4: Simplify right side
    1,191.59x = 1,193,757.15
  5. Step 5: Solve for x
    x = 1,193,757.15/1,191.59
  6. Step 6: Final answer
    x = 1,001.82

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1.5x scale

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.