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Finding the Fourth Proportional to 819.38, 1,222.65 and 720.97

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Solution

The fourth proportional to 819.38, 1,222.65 and 720.97 is: 1,075.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.38 : 1,222.65 = 720.97 : x
  2. Step 2: Convert to fraction form
    819.38/1,222.65 = 720.97/x
  3. Step 3: Cross multiply
    819.38x = 1,222.65 × 720.97
  4. Step 4: Simplify right side
    819.38x = 881,493.97
  5. Step 5: Solve for x
    x = 881,493.97/819.38
  6. Step 6: Final answer
    x = 1,075.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.