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Finding the Fourth Proportional to 408.57, 609.26 and 404.92

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Solution

The fourth proportional to 408.57, 609.26 and 404.92 is: 603.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.57 : 609.26 = 404.92 : x
  2. Step 2: Convert to fraction form
    408.57/609.26 = 404.92/x
  3. Step 3: Cross multiply
    408.57x = 609.26 × 404.92
  4. Step 4: Simplify right side
    408.57x = 246,701.56
  5. Step 5: Solve for x
    x = 246,701.56/408.57
  6. Step 6: Final answer
    x = 603.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.