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Finding the Fourth Proportional to 629.14, 867.91 and 367

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Solution

The fourth proportional to 629.14, 867.91 and 367 is: 506.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.14 : 867.91 = 367 : x
  2. Step 2: Convert to fraction form
    629.14/867.91 = 367/x
  3. Step 3: Cross multiply
    629.14x = 867.91 × 367
  4. Step 4: Simplify right side
    629.14x = 318,522.97
  5. Step 5: Solve for x
    x = 318,522.97/629.14
  6. Step 6: Final answer
    x = 506.28

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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.