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Finding the Fourth Proportional to 604.67, 834.25 and 408.29

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Solution

The fourth proportional to 604.67, 834.25 and 408.29 is: 563.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.67 : 834.25 = 408.29 : x
  2. Step 2: Convert to fraction form
    604.67/834.25 = 408.29/x
  3. Step 3: Cross multiply
    604.67x = 834.25 × 408.29
  4. Step 4: Simplify right side
    604.67x = 340,616.20
  5. Step 5: Solve for x
    x = 340,616.20/604.67
  6. Step 6: Final answer
    x = 563.31

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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.