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Finding the Fourth Proportional to 644.48, 965.74 and 427.28

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Solution

The fourth proportional to 644.48, 965.74 and 427.28 is: 640.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.48 : 965.74 = 427.28 : x
  2. Step 2: Convert to fraction form
    644.48/965.74 = 427.28/x
  3. Step 3: Cross multiply
    644.48x = 965.74 × 427.28
  4. Step 4: Simplify right side
    644.48x = 412,641.39
  5. Step 5: Solve for x
    x = 412,641.39/644.48
  6. Step 6: Final answer
    x = 640.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.