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Finding the Fourth Proportional to 725.23, 1,089.18 and 378.80

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Solution

The fourth proportional to 725.23, 1,089.18 and 378.80 is: 568.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.23 : 1,089.18 = 378.80 : x
  2. Step 2: Convert to fraction form
    725.23/1,089.18 = 378.80/x
  3. Step 3: Cross multiply
    725.23x = 1,089.18 × 378.80
  4. Step 4: Simplify right side
    725.23x = 412,584.11
  5. Step 5: Solve for x
    x = 412,584.11/725.23
  6. Step 6: Final answer
    x = 568.90

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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.