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Finding the Fourth Proportional to 819.05, 1,129.10 and 622.22

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Solution

The fourth proportional to 819.05, 1,129.10 and 622.22 is: 857.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.05 : 1,129.10 = 622.22 : x
  2. Step 2: Convert to fraction form
    819.05/1,129.10 = 622.22/x
  3. Step 3: Cross multiply
    819.05x = 1,129.10 × 622.22
  4. Step 4: Simplify right side
    819.05x = 702,545.49
  5. Step 5: Solve for x
    x = 702,545.49/819.05
  6. Step 6: Final answer
    x = 857.76

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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.