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Finding the Fourth Proportional to 787.25, 1,180.85 and 324.90

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Solution

The fourth proportional to 787.25, 1,180.85 and 324.90 is: 487.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.25 : 1,180.85 = 324.90 : x
  2. Step 2: Convert to fraction form
    787.25/1,180.85 = 324.90/x
  3. Step 3: Cross multiply
    787.25x = 1,180.85 × 324.90
  4. Step 4: Simplify right side
    787.25x = 383,656.54
  5. Step 5: Solve for x
    x = 383,656.54/787.25
  6. Step 6: Final answer
    x = 487.34

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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.