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Finding the Fourth Proportional to 880.44, 1,321.17 and 812.78

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Solution

The fourth proportional to 880.44, 1,321.17 and 812.78 is: 1,219.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.44 : 1,321.17 = 812.78 : x
  2. Step 2: Convert to fraction form
    880.44/1,321.17 = 812.78/x
  3. Step 3: Cross multiply
    880.44x = 1,321.17 × 812.78
  4. Step 4: Simplify right side
    880.44x = 1,073,820.55
  5. Step 5: Solve for x
    x = 1,073,820.55/880.44
  6. Step 6: Final answer
    x = 1,219.64

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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.