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Finding the Fourth Proportional to 787.11, 1,180.90 and 324.91

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Solution

The fourth proportional to 787.11, 1,180.90 and 324.91 is: 487.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.11 : 1,180.90 = 324.91 : x
  2. Step 2: Convert to fraction form
    787.11/1,180.90 = 324.91/x
  3. Step 3: Cross multiply
    787.11x = 1,180.90 × 324.91
  4. Step 4: Simplify right side
    787.11x = 383,689.59
  5. Step 5: Solve for x
    x = 383,689.59/787.11
  6. Step 6: Final answer
    x = 487.47

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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.