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Finding the Fourth Proportional to 787.86, 1,180.17 and 543.24

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Solution

The fourth proportional to 787.86, 1,180.17 and 543.24 is: 813.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.86 : 1,180.17 = 543.24 : x
  2. Step 2: Convert to fraction form
    787.86/1,180.17 = 543.24/x
  3. Step 3: Cross multiply
    787.86x = 1,180.17 × 543.24
  4. Step 4: Simplify right side
    787.86x = 641,115.55
  5. Step 5: Solve for x
    x = 641,115.55/787.86
  6. Step 6: Final answer
    x = 813.74

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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.