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Finding the Fourth Proportional to 842.46, 1,261.78 and 451.78

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Solution

The fourth proportional to 842.46, 1,261.78 and 451.78 is: 676.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.46 : 1,261.78 = 451.78 : x
  2. Step 2: Convert to fraction form
    842.46/1,261.78 = 451.78/x
  3. Step 3: Cross multiply
    842.46x = 1,261.78 × 451.78
  4. Step 4: Simplify right side
    842.46x = 570,046.97
  5. Step 5: Solve for x
    x = 570,046.97/842.46
  6. Step 6: Final answer
    x = 676.65

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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.