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Finding the Fourth Proportional to 644.75, 967.23 and 211.82

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Solution

The fourth proportional to 644.75, 967.23 and 211.82 is: 317.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.75 : 967.23 = 211.82 : x
  2. Step 2: Convert to fraction form
    644.75/967.23 = 211.82/x
  3. Step 3: Cross multiply
    644.75x = 967.23 × 211.82
  4. Step 4: Simplify right side
    644.75x = 204,878.66
  5. Step 5: Solve for x
    x = 204,878.66/644.75
  6. Step 6: Final answer
    x = 317.76

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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.