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Finding the Fourth Proportional to 800.38, 1,103.33 and 563.56

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Solution

The fourth proportional to 800.38, 1,103.33 and 563.56 is: 776.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.38 : 1,103.33 = 563.56 : x
  2. Step 2: Convert to fraction form
    800.38/1,103.33 = 563.56/x
  3. Step 3: Cross multiply
    800.38x = 1,103.33 × 563.56
  4. Step 4: Simplify right side
    800.38x = 621,791.31
  5. Step 5: Solve for x
    x = 621,791.31/800.38
  6. Step 6: Final answer
    x = 776.87

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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.