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Finding the Fourth Proportional to 644.04, 965.52 and 438.10

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Solution

The fourth proportional to 644.04, 965.52 and 438.10 is: 656.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.04 : 965.52 = 438.10 : x
  2. Step 2: Convert to fraction form
    644.04/965.52 = 438.10/x
  3. Step 3: Cross multiply
    644.04x = 965.52 × 438.10
  4. Step 4: Simplify right side
    644.04x = 422,991.90
  5. Step 5: Solve for x
    x = 422,991.90/644.04
  6. Step 6: Final answer
    x = 656.78

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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.