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Finding the Fourth Proportional to 644.54, 965.26 and 369.78

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Solution

The fourth proportional to 644.54, 965.26 and 369.78 is: 553.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.54 : 965.26 = 369.78 : x
  2. Step 2: Convert to fraction form
    644.54/965.26 = 369.78/x
  3. Step 3: Cross multiply
    644.54x = 965.26 × 369.78
  4. Step 4: Simplify right side
    644.54x = 356,933.84
  5. Step 5: Solve for x
    x = 356,933.84/644.54
  6. Step 6: Final answer
    x = 553.78

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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.