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Finding the Fourth Proportional to 629.97, 869.44 and 450.38

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Solution

The fourth proportional to 629.97, 869.44 and 450.38 is: 621.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.97 : 869.44 = 450.38 : x
  2. Step 2: Convert to fraction form
    629.97/869.44 = 450.38/x
  3. Step 3: Cross multiply
    629.97x = 869.44 × 450.38
  4. Step 4: Simplify right side
    629.97x = 391,578.39
  5. Step 5: Solve for x
    x = 391,578.39/629.97
  6. Step 6: Final answer
    x = 621.58

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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.