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Finding the Fourth Proportional to 725.20, 1,086.64 and 377.76

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Solution

The fourth proportional to 725.20, 1,086.64 and 377.76 is: 566.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.20 : 1,086.64 = 377.76 : x
  2. Step 2: Convert to fraction form
    725.20/1,086.64 = 377.76/x
  3. Step 3: Cross multiply
    725.20x = 1,086.64 × 377.76
  4. Step 4: Simplify right side
    725.20x = 410,489.13
  5. Step 5: Solve for x
    x = 410,489.13/725.20
  6. Step 6: Final answer
    x = 566.04

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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.