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Finding the Fourth Proportional to 574.55, 793.16 and 409.31

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Solution

The fourth proportional to 574.55, 793.16 and 409.31 is: 565.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.55 : 793.16 = 409.31 : x
  2. Step 2: Convert to fraction form
    574.55/793.16 = 409.31/x
  3. Step 3: Cross multiply
    574.55x = 793.16 × 409.31
  4. Step 4: Simplify right side
    574.55x = 324,648.32
  5. Step 5: Solve for x
    x = 324,648.32/574.55
  6. Step 6: Final answer
    x = 565.05

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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.