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Finding the Fourth Proportional to 644.92, 889.65 and 408.43

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Solution

The fourth proportional to 644.92, 889.65 and 408.43 is: 563.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.92 : 889.65 = 408.43 : x
  2. Step 2: Convert to fraction form
    644.92/889.65 = 408.43/x
  3. Step 3: Cross multiply
    644.92x = 889.65 × 408.43
  4. Step 4: Simplify right side
    644.92x = 363,359.75
  5. Step 5: Solve for x
    x = 363,359.75/644.92
  6. Step 6: Final answer
    x = 563.42

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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.