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Finding the Fourth Proportional to 609.56, 840.92 and 423.49

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Solution

The fourth proportional to 609.56, 840.92 and 423.49 is: 584.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.56 : 840.92 = 423.49 : x
  2. Step 2: Convert to fraction form
    609.56/840.92 = 423.49/x
  3. Step 3: Cross multiply
    609.56x = 840.92 × 423.49
  4. Step 4: Simplify right side
    609.56x = 356,119.09
  5. Step 5: Solve for x
    x = 356,119.09/609.56
  6. Step 6: Final answer
    x = 584.23

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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.