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Finding the Fourth Proportional to 429.62, 644.07 and 321.44

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Solution

The fourth proportional to 429.62, 644.07 and 321.44 is: 481.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.62 : 644.07 = 321.44 : x
  2. Step 2: Convert to fraction form
    429.62/644.07 = 321.44/x
  3. Step 3: Cross multiply
    429.62x = 644.07 × 321.44
  4. Step 4: Simplify right side
    429.62x = 207,029.86
  5. Step 5: Solve for x
    x = 207,029.86/429.62
  6. Step 6: Final answer
    x = 481.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.