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Finding the Fourth Proportional to 644.54, 966.60 and 211.59

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Solution

The fourth proportional to 644.54, 966.60 and 211.59 is: 317.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.54 : 966.60 = 211.59 : x
  2. Step 2: Convert to fraction form
    644.54/966.60 = 211.59/x
  3. Step 3: Cross multiply
    644.54x = 966.60 × 211.59
  4. Step 4: Simplify right side
    644.54x = 204,522.89
  5. Step 5: Solve for x
    x = 204,522.89/644.54
  6. Step 6: Final answer
    x = 317.32

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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.