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Finding the Fourth Proportional to 604.43, 834.09 and 338.86

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Solution

The fourth proportional to 604.43, 834.09 and 338.86 is: 467.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.43 : 834.09 = 338.86 : x
  2. Step 2: Convert to fraction form
    604.43/834.09 = 338.86/x
  3. Step 3: Cross multiply
    604.43x = 834.09 × 338.86
  4. Step 4: Simplify right side
    604.43x = 282,635.57
  5. Step 5: Solve for x
    x = 282,635.57/604.43
  6. Step 6: Final answer
    x = 467.61

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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.