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Finding the Fourth Proportional to 604.85, 834.49 and 339.25

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Solution

The fourth proportional to 604.85, 834.49 and 339.25 is: 468.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.85 : 834.49 = 339.25 : x
  2. Step 2: Convert to fraction form
    604.85/834.49 = 339.25/x
  3. Step 3: Cross multiply
    604.85x = 834.49 × 339.25
  4. Step 4: Simplify right side
    604.85x = 283,100.73
  5. Step 5: Solve for x
    x = 283,100.73/604.85
  6. Step 6: Final answer
    x = 468.05

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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.