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Finding the Fourth Proportional to 644.14, 965.36 and 336.25

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Solution

The fourth proportional to 644.14, 965.36 and 336.25 is: 503.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.14 : 965.36 = 336.25 : x
  2. Step 2: Convert to fraction form
    644.14/965.36 = 336.25/x
  3. Step 3: Cross multiply
    644.14x = 965.36 × 336.25
  4. Step 4: Simplify right side
    644.14x = 324,601.98
  5. Step 5: Solve for x
    x = 324,601.98/644.14
  6. Step 6: Final answer
    x = 503.93

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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.