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Finding the Fourth Proportional to 605.07, 834.78 and 343.05

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Solution

The fourth proportional to 605.07, 834.78 and 343.05 is: 473.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.07 : 834.78 = 343.05 : x
  2. Step 2: Convert to fraction form
    605.07/834.78 = 343.05/x
  3. Step 3: Cross multiply
    605.07x = 834.78 × 343.05
  4. Step 4: Simplify right side
    605.07x = 286,371.28
  5. Step 5: Solve for x
    x = 286,371.28/605.07
  6. Step 6: Final answer
    x = 473.29

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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.