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Finding the Fourth Proportional to 605.97, 836.39 and 344.14

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Solution

The fourth proportional to 605.97, 836.39 and 344.14 is: 475.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.97 : 836.39 = 344.14 : x
  2. Step 2: Convert to fraction form
    605.97/836.39 = 344.14/x
  3. Step 3: Cross multiply
    605.97x = 836.39 × 344.14
  4. Step 4: Simplify right side
    605.97x = 287,835.25
  5. Step 5: Solve for x
    x = 287,835.25/605.97
  6. Step 6: Final answer
    x = 475.00

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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.