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Finding the Fourth Proportional to 609.17, 840.62 and 343.61

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Solution

The fourth proportional to 609.17, 840.62 and 343.61 is: 474.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.17 : 840.62 = 343.61 : x
  2. Step 2: Convert to fraction form
    609.17/840.62 = 343.61/x
  3. Step 3: Cross multiply
    609.17x = 840.62 × 343.61
  4. Step 4: Simplify right side
    609.17x = 288,843.72
  5. Step 5: Solve for x
    x = 288,843.72/609.17
  6. Step 6: Final answer
    x = 474.16

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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.