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Finding the Fourth Proportional to 408.52, 611.44 and 394.24

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Solution

The fourth proportional to 408.52, 611.44 and 394.24 is: 590.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.52 : 611.44 = 394.24 : x
  2. Step 2: Convert to fraction form
    408.52/611.44 = 394.24/x
  3. Step 3: Cross multiply
    408.52x = 611.44 × 394.24
  4. Step 4: Simplify right side
    408.52x = 241,054.11
  5. Step 5: Solve for x
    x = 241,054.11/408.52
  6. Step 6: Final answer
    x = 590.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.