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Finding the Fourth Proportional to 609.38, 840.83 and 343.83

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Solution

The fourth proportional to 609.38, 840.83 and 343.83 is: 474.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.38 : 840.83 = 343.83 : x
  2. Step 2: Convert to fraction form
    609.38/840.83 = 343.83/x
  3. Step 3: Cross multiply
    609.38x = 840.83 × 343.83
  4. Step 4: Simplify right side
    609.38x = 289,103.44
  5. Step 5: Solve for x
    x = 289,103.44/609.38
  6. Step 6: Final answer
    x = 474.43

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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.