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Finding the Fourth Proportional to 1,167.90, 1,753.21 and 819.80

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Solution

The fourth proportional to 1,167.90, 1,753.21 and 819.80 is: 1,230.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.90 : 1,753.21 = 819.80 : x
  2. Step 2: Convert to fraction form
    1,167.90/1,753.21 = 819.80/x
  3. Step 3: Cross multiply
    1,167.90x = 1,753.21 × 819.80
  4. Step 4: Simplify right side
    1,167.90x = 1,437,280.39
  5. Step 5: Solve for x
    x = 1,437,280.39/1,167.90
  6. Step 6: Final answer
    x = 1,230.66

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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.