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Finding the Fourth Proportional to 644.82, 889.64 and 396.01

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Solution

The fourth proportional to 644.82, 889.64 and 396.01 is: 546.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.82 : 889.64 = 396.01 : x
  2. Step 2: Convert to fraction form
    644.82/889.64 = 396.01/x
  3. Step 3: Cross multiply
    644.82x = 889.64 × 396.01
  4. Step 4: Simplify right side
    644.82x = 352,304.36
  5. Step 5: Solve for x
    x = 352,304.36/644.82
  6. Step 6: Final answer
    x = 546.37

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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.