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Finding the Fourth Proportional to 605.89, 836.14 and 343.91

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Solution

The fourth proportional to 605.89, 836.14 and 343.91 is: 474.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.89 : 836.14 = 343.91 : x
  2. Step 2: Convert to fraction form
    605.89/836.14 = 343.91/x
  3. Step 3: Cross multiply
    605.89x = 836.14 × 343.91
  4. Step 4: Simplify right side
    605.89x = 287,552.73
  5. Step 5: Solve for x
    x = 287,552.73/605.89
  6. Step 6: Final answer
    x = 474.60

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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.