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Finding the Fourth Proportional to 2,254.73, 3,380.88 and 792.78

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Solution

The fourth proportional to 2,254.73, 3,380.88 and 792.78 is: 1,188.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.73 : 3,380.88 = 792.78 : x
  2. Step 2: Convert to fraction form
    2,254.73/3,380.88 = 792.78/x
  3. Step 3: Cross multiply
    2,254.73x = 3,380.88 × 792.78
  4. Step 4: Simplify right side
    2,254.73x = 2,680,294.05
  5. Step 5: Solve for x
    x = 2,680,294.05/2,254.73
  6. Step 6: Final answer
    x = 1,188.74

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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.