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Finding the Fourth Proportional to 644.78, 967.32 and 211.94

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Solution

The fourth proportional to 644.78, 967.32 and 211.94 is: 317.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.78 : 967.32 = 211.94 : x
  2. Step 2: Convert to fraction form
    644.78/967.32 = 211.94/x
  3. Step 3: Cross multiply
    644.78x = 967.32 × 211.94
  4. Step 4: Simplify right side
    644.78x = 205,013.80
  5. Step 5: Solve for x
    x = 205,013.80/644.78
  6. Step 6: Final answer
    x = 317.96

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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.