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Finding the Fourth Proportional to 644.22, 965.82 and 319.41

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Solution

The fourth proportional to 644.22, 965.82 and 319.41 is: 478.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.22 : 965.82 = 319.41 : x
  2. Step 2: Convert to fraction form
    644.22/965.82 = 319.41/x
  3. Step 3: Cross multiply
    644.22x = 965.82 × 319.41
  4. Step 4: Simplify right side
    644.22x = 308,493.76
  5. Step 5: Solve for x
    x = 308,493.76/644.22
  6. Step 6: Final answer
    x = 478.86

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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.