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Finding the Fourth Proportional to 644.32, 966.76 and 427.84

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Solution

The fourth proportional to 644.32, 966.76 and 427.84 is: 641.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.32 : 966.76 = 427.84 : x
  2. Step 2: Convert to fraction form
    644.32/966.76 = 427.84/x
  3. Step 3: Cross multiply
    644.32x = 966.76 × 427.84
  4. Step 4: Simplify right side
    644.32x = 413,618.60
  5. Step 5: Solve for x
    x = 413,618.60/644.32
  6. Step 6: Final answer
    x = 641.95

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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.