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Finding the Fourth Proportional to 664.19, 989.27 and 629.49

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Solution

The fourth proportional to 664.19, 989.27 and 629.49 is: 937.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.19 : 989.27 = 629.49 : x
  2. Step 2: Convert to fraction form
    664.19/989.27 = 629.49/x
  3. Step 3: Cross multiply
    664.19x = 989.27 × 629.49
  4. Step 4: Simplify right side
    664.19x = 622,734.90
  5. Step 5: Solve for x
    x = 622,734.90/664.19
  6. Step 6: Final answer
    x = 937.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.