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Finding the Fourth Proportional to 575.20, 793.20 and 409.42

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Solution

The fourth proportional to 575.20, 793.20 and 409.42 is: 564.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.20 : 793.20 = 409.42 : x
  2. Step 2: Convert to fraction form
    575.20/793.20 = 409.42/x
  3. Step 3: Cross multiply
    575.20x = 793.20 × 409.42
  4. Step 4: Simplify right side
    575.20x = 324,751.94
  5. Step 5: Solve for x
    x = 324,751.94/575.20
  6. Step 6: Final answer
    x = 564.59

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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.