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Finding the Fourth Proportional to 439.34, 662.09 and 396.06

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Solution

The fourth proportional to 439.34, 662.09 and 396.06 is: 596.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.34 : 662.09 = 396.06 : x
  2. Step 2: Convert to fraction form
    439.34/662.09 = 396.06/x
  3. Step 3: Cross multiply
    439.34x = 662.09 × 396.06
  4. Step 4: Simplify right side
    439.34x = 262,227.37
  5. Step 5: Solve for x
    x = 262,227.37/439.34
  6. Step 6: Final answer
    x = 596.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.