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Finding the Fourth Proportional to 819.20, 1,131.90 and 673.40

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Solution

The fourth proportional to 819.20, 1,131.90 and 673.40 is: 930.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.20 : 1,131.90 = 673.40 : x
  2. Step 2: Convert to fraction form
    819.20/1,131.90 = 673.40/x
  3. Step 3: Cross multiply
    819.20x = 1,131.90 × 673.40
  4. Step 4: Simplify right side
    819.20x = 762,221.46
  5. Step 5: Solve for x
    x = 762,221.46/819.20
  6. Step 6: Final answer
    x = 930.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.