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Finding the Fourth Proportional to 604.98, 834.20 and 494.12

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Solution

The fourth proportional to 604.98, 834.20 and 494.12 is: 681.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.98 : 834.20 = 494.12 : x
  2. Step 2: Convert to fraction form
    604.98/834.20 = 494.12/x
  3. Step 3: Cross multiply
    604.98x = 834.20 × 494.12
  4. Step 4: Simplify right side
    604.98x = 412,194.90
  5. Step 5: Solve for x
    x = 412,194.90/604.98
  6. Step 6: Final answer
    x = 681.34

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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.