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Finding the Fourth Proportional to 574.89, 793.11 and 400.33

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Solution

The fourth proportional to 574.89, 793.11 and 400.33 is: 552.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.89 : 793.11 = 400.33 : x
  2. Step 2: Convert to fraction form
    574.89/793.11 = 400.33/x
  3. Step 3: Cross multiply
    574.89x = 793.11 × 400.33
  4. Step 4: Simplify right side
    574.89x = 317,505.97
  5. Step 5: Solve for x
    x = 317,505.97/574.89
  6. Step 6: Final answer
    x = 552.29

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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.