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Finding the Fourth Proportional to 738.73, 1,107.96 and 251.77

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Solution

The fourth proportional to 738.73, 1,107.96 and 251.77 is: 377.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.73 : 1,107.96 = 251.77 : x
  2. Step 2: Convert to fraction form
    738.73/1,107.96 = 251.77/x
  3. Step 3: Cross multiply
    738.73x = 1,107.96 × 251.77
  4. Step 4: Simplify right side
    738.73x = 278,951.09
  5. Step 5: Solve for x
    x = 278,951.09/738.73
  6. Step 6: Final answer
    x = 377.61

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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.