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Finding the Fourth Proportional to 408.70, 609.26 and 392.32

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Solution

The fourth proportional to 408.70, 609.26 and 392.32 is: 584.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.70 : 609.26 = 392.32 : x
  2. Step 2: Convert to fraction form
    408.70/609.26 = 392.32/x
  3. Step 3: Cross multiply
    408.70x = 609.26 × 392.32
  4. Step 4: Simplify right side
    408.70x = 239,024.88
  5. Step 5: Solve for x
    x = 239,024.88/408.70
  6. Step 6: Final answer
    x = 584.84

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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.