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Finding the Fourth Proportional to 773.57, 1,160.39 and 253.61

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Solution

The fourth proportional to 773.57, 1,160.39 and 253.61 is: 380.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.57 : 1,160.39 = 253.61 : x
  2. Step 2: Convert to fraction form
    773.57/1,160.39 = 253.61/x
  3. Step 3: Cross multiply
    773.57x = 1,160.39 × 253.61
  4. Step 4: Simplify right side
    773.57x = 294,279.44
  5. Step 5: Solve for x
    x = 294,279.44/773.57
  6. Step 6: Final answer
    x = 380.42

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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.