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Finding the Fourth Proportional to 800.69, 1,105.05 and 451.38

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Solution

The fourth proportional to 800.69, 1,105.05 and 451.38 is: 622.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.69 : 1,105.05 = 451.38 : x
  2. Step 2: Convert to fraction form
    800.69/1,105.05 = 451.38/x
  3. Step 3: Cross multiply
    800.69x = 1,105.05 × 451.38
  4. Step 4: Simplify right side
    800.69x = 498,791.94
  5. Step 5: Solve for x
    x = 498,791.94/800.69
  6. Step 6: Final answer
    x = 622.95

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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.