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Finding the Fourth Proportional to 609.01, 840.31 and 343.43

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Solution

The fourth proportional to 609.01, 840.31 and 343.43 is: 473.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.01 : 840.31 = 343.43 : x
  2. Step 2: Convert to fraction form
    609.01/840.31 = 343.43/x
  3. Step 3: Cross multiply
    609.01x = 840.31 × 343.43
  4. Step 4: Simplify right side
    609.01x = 288,587.66
  5. Step 5: Solve for x
    x = 288,587.66/609.01
  6. Step 6: Final answer
    x = 473.86

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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.