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Finding the Fourth Proportional to 574.78, 793.46 and 353.81

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Solution

The fourth proportional to 574.78, 793.46 and 353.81 is: 488.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.78 : 793.46 = 353.81 : x
  2. Step 2: Convert to fraction form
    574.78/793.46 = 353.81/x
  3. Step 3: Cross multiply
    574.78x = 793.46 × 353.81
  4. Step 4: Simplify right side
    574.78x = 280,734.08
  5. Step 5: Solve for x
    x = 280,734.08/574.78
  6. Step 6: Final answer
    x = 488.42

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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.