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Finding the Fourth Proportional to 605.97, 836.30 and 343.97

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Solution

The fourth proportional to 605.97, 836.30 and 343.97 is: 474.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.97 : 836.30 = 343.97 : x
  2. Step 2: Convert to fraction form
    605.97/836.30 = 343.97/x
  3. Step 3: Cross multiply
    605.97x = 836.30 × 343.97
  4. Step 4: Simplify right side
    605.97x = 287,656.21
  5. Step 5: Solve for x
    x = 287,656.21/605.97
  6. Step 6: Final answer
    x = 474.70

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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.