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Finding the Fourth Proportional to 609.15, 839.73 and 422.35

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Solution

The fourth proportional to 609.15, 839.73 and 422.35 is: 582.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.15 : 839.73 = 422.35 : x
  2. Step 2: Convert to fraction form
    609.15/839.73 = 422.35/x
  3. Step 3: Cross multiply
    609.15x = 839.73 × 422.35
  4. Step 4: Simplify right side
    609.15x = 354,659.45
  5. Step 5: Solve for x
    x = 354,659.45/609.15
  6. Step 6: Final answer
    x = 582.22

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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.