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Finding the Fourth Proportional to 644.44, 964.74 and 415.96

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Solution

The fourth proportional to 644.44, 964.74 and 415.96 is: 622.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.44 : 964.74 = 415.96 : x
  2. Step 2: Convert to fraction form
    644.44/964.74 = 415.96/x
  3. Step 3: Cross multiply
    644.44x = 964.74 × 415.96
  4. Step 4: Simplify right side
    644.44x = 401,293.25
  5. Step 5: Solve for x
    x = 401,293.25/644.44
  6. Step 6: Final answer
    x = 622.70

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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.