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Finding the Fourth Proportional to 644.39, 964.88 and 439.37

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Solution

The fourth proportional to 644.39, 964.88 and 439.37 is: 657.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.39 : 964.88 = 439.37 : x
  2. Step 2: Convert to fraction form
    644.39/964.88 = 439.37/x
  3. Step 3: Cross multiply
    644.39x = 964.88 × 439.37
  4. Step 4: Simplify right side
    644.39x = 423,932.30
  5. Step 5: Solve for x
    x = 423,932.30/644.39
  6. Step 6: Final answer
    x = 657.88

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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.