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Finding the Fourth Proportional to 629.45, 868.65 and 380.73

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Solution

The fourth proportional to 629.45, 868.65 and 380.73 is: 525.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.45 : 868.65 = 380.73 : x
  2. Step 2: Convert to fraction form
    629.45/868.65 = 380.73/x
  3. Step 3: Cross multiply
    629.45x = 868.65 × 380.73
  4. Step 4: Simplify right side
    629.45x = 330,721.11
  5. Step 5: Solve for x
    x = 330,721.11/629.45
  6. Step 6: Final answer
    x = 525.41

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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.