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Finding the Fourth Proportional to 609.62, 840.48 and 422.78

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Solution

The fourth proportional to 609.62, 840.48 and 422.78 is: 582.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.62 : 840.48 = 422.78 : x
  2. Step 2: Convert to fraction form
    609.62/840.48 = 422.78/x
  3. Step 3: Cross multiply
    609.62x = 840.48 × 422.78
  4. Step 4: Simplify right side
    609.62x = 355,333.93
  5. Step 5: Solve for x
    x = 355,333.93/609.62
  6. Step 6: Final answer
    x = 582.88

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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.