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Finding the Fourth Proportional to 819.68, 1,131.07 and 500.49

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Solution

The fourth proportional to 819.68, 1,131.07 and 500.49 is: 690.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.68 : 1,131.07 = 500.49 : x
  2. Step 2: Convert to fraction form
    819.68/1,131.07 = 500.49/x
  3. Step 3: Cross multiply
    819.68x = 1,131.07 × 500.49
  4. Step 4: Simplify right side
    819.68x = 566,091.39
  5. Step 5: Solve for x
    x = 566,091.39/819.68
  6. Step 6: Final answer
    x = 690.62

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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.