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Finding the Fourth Proportional to 887.44, 1,327.92 and 865.84

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Solution

The fourth proportional to 887.44, 1,327.92 and 865.84 is: 1,295.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.44 : 1,327.92 = 865.84 : x
  2. Step 2: Convert to fraction form
    887.44/1,327.92 = 865.84/x
  3. Step 3: Cross multiply
    887.44x = 1,327.92 × 865.84
  4. Step 4: Simplify right side
    887.44x = 1,149,766.25
  5. Step 5: Solve for x
    x = 1,149,766.25/887.44
  6. Step 6: Final answer
    x = 1,295.60

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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.