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Finding the Fourth Proportional to 880.44, 1,321.92 and 783.24

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Solution

The fourth proportional to 880.44, 1,321.92 and 783.24 is: 1,175.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.44 : 1,321.92 = 783.24 : x
  2. Step 2: Convert to fraction form
    880.44/1,321.92 = 783.24/x
  3. Step 3: Cross multiply
    880.44x = 1,321.92 × 783.24
  4. Step 4: Simplify right side
    880.44x = 1,035,380.62
  5. Step 5: Solve for x
    x = 1,035,380.62/880.44
  6. Step 6: Final answer
    x = 1,175.98

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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.