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Finding the Fourth Proportional to 773.39, 1,160.25 and 225.62

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Solution

The fourth proportional to 773.39, 1,160.25 and 225.62 is: 338.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.39 : 1,160.25 = 225.62 : x
  2. Step 2: Convert to fraction form
    773.39/1,160.25 = 225.62/x
  3. Step 3: Cross multiply
    773.39x = 1,160.25 × 225.62
  4. Step 4: Simplify right side
    773.39x = 261,775.61
  5. Step 5: Solve for x
    x = 261,775.61/773.39
  6. Step 6: Final answer
    x = 338.48

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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.