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Finding the Fourth Proportional to 605.13, 834.75 and 495.06

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Solution

The fourth proportional to 605.13, 834.75 and 495.06 is: 682.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.13 : 834.75 = 495.06 : x
  2. Step 2: Convert to fraction form
    605.13/834.75 = 495.06/x
  3. Step 3: Cross multiply
    605.13x = 834.75 × 495.06
  4. Step 4: Simplify right side
    605.13x = 413,251.34
  5. Step 5: Solve for x
    x = 413,251.34/605.13
  6. Step 6: Final answer
    x = 682.91

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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.