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Finding the Fourth Proportional to 644.50, 966.70 and 205.73

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Solution

The fourth proportional to 644.50, 966.70 and 205.73 is: 308.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.50 : 966.70 = 205.73 : x
  2. Step 2: Convert to fraction form
    644.50/966.70 = 205.73/x
  3. Step 3: Cross multiply
    644.50x = 966.70 × 205.73
  4. Step 4: Simplify right side
    644.50x = 198,877.08
  5. Step 5: Solve for x
    x = 198,877.08/644.50
  6. Step 6: Final answer
    x = 308.58

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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.