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Finding the Fourth Proportional to 644.81, 889.85 and 361.25

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Solution

The fourth proportional to 644.81, 889.85 and 361.25 is: 498.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.81 : 889.85 = 361.25 : x
  2. Step 2: Convert to fraction form
    644.81/889.85 = 361.25/x
  3. Step 3: Cross multiply
    644.81x = 889.85 × 361.25
  4. Step 4: Simplify right side
    644.81x = 321,456.99
  5. Step 5: Solve for x
    x = 321,456.99/644.81
  6. Step 6: Final answer
    x = 498.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.