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Finding the Fourth Proportional to 629.54, 868.64 and 367.44

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Solution

The fourth proportional to 629.54, 868.64 and 367.44 is: 506.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.54 : 868.64 = 367.44 : x
  2. Step 2: Convert to fraction form
    629.54/868.64 = 367.44/x
  3. Step 3: Cross multiply
    629.54x = 868.64 × 367.44
  4. Step 4: Simplify right side
    629.54x = 319,171.24
  5. Step 5: Solve for x
    x = 319,171.24/629.54
  6. Step 6: Final answer
    x = 506.99

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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.