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Finding the Fourth Proportional to 605.11, 834.90 and 494.41

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Solution

The fourth proportional to 605.11, 834.90 and 494.41 is: 682.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.11 : 834.90 = 494.41 : x
  2. Step 2: Convert to fraction form
    605.11/834.90 = 494.41/x
  3. Step 3: Cross multiply
    605.11x = 834.90 × 494.41
  4. Step 4: Simplify right side
    605.11x = 412,782.91
  5. Step 5: Solve for x
    x = 412,782.91/605.11
  6. Step 6: Final answer
    x = 682.16

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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.