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Finding the Fourth Proportional to 609.32, 840.87 and 329.56

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Solution

The fourth proportional to 609.32, 840.87 and 329.56 is: 454.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.32 : 840.87 = 329.56 : x
  2. Step 2: Convert to fraction form
    609.32/840.87 = 329.56/x
  3. Step 3: Cross multiply
    609.32x = 840.87 × 329.56
  4. Step 4: Simplify right side
    609.32x = 277,111.27
  5. Step 5: Solve for x
    x = 277,111.27/609.32
  6. Step 6: Final answer
    x = 454.79

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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.