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Finding the Fourth Proportional to 439.70, 662.48 and 398.06

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Solution

The fourth proportional to 439.70, 662.48 and 398.06 is: 599.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.70 : 662.48 = 398.06 : x
  2. Step 2: Convert to fraction form
    439.70/662.48 = 398.06/x
  3. Step 3: Cross multiply
    439.70x = 662.48 × 398.06
  4. Step 4: Simplify right side
    439.70x = 263,702.98
  5. Step 5: Solve for x
    x = 263,702.98/439.70
  6. Step 6: Final answer
    x = 599.74

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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.