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Finding the Fourth Proportional to 609.34, 840.85 and 343.78

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Solution

The fourth proportional to 609.34, 840.85 and 343.78 is: 474.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.34 : 840.85 = 343.78 : x
  2. Step 2: Convert to fraction form
    609.34/840.85 = 343.78/x
  3. Step 3: Cross multiply
    609.34x = 840.85 × 343.78
  4. Step 4: Simplify right side
    609.34x = 289,067.41
  5. Step 5: Solve for x
    x = 289,067.41/609.34
  6. Step 6: Final answer
    x = 474.39

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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.