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Finding the Fourth Proportional to 644.81, 889.79 and 396.14

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Solution

The fourth proportional to 644.81, 889.79 and 396.14 is: 546.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.81 : 889.79 = 396.14 : x
  2. Step 2: Convert to fraction form
    644.81/889.79 = 396.14/x
  3. Step 3: Cross multiply
    644.81x = 889.79 × 396.14
  4. Step 4: Simplify right side
    644.81x = 352,474.98
  5. Step 5: Solve for x
    x = 352,474.98/644.81
  6. Step 6: Final answer
    x = 546.64

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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.