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Finding the Fourth Proportional to 800.33, 1,102.73 and 576.09

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Solution

The fourth proportional to 800.33, 1,102.73 and 576.09 is: 793.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.33 : 1,102.73 = 576.09 : x
  2. Step 2: Convert to fraction form
    800.33/1,102.73 = 576.09/x
  3. Step 3: Cross multiply
    800.33x = 1,102.73 × 576.09
  4. Step 4: Simplify right side
    800.33x = 635,268.85
  5. Step 5: Solve for x
    x = 635,268.85/800.33
  6. Step 6: Final answer
    x = 793.76

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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.