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Finding the Fourth Proportional to 629.58, 868.86 and 380.91

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Solution

The fourth proportional to 629.58, 868.86 and 380.91 is: 525.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.58 : 868.86 = 380.91 : x
  2. Step 2: Convert to fraction form
    629.58/868.86 = 380.91/x
  3. Step 3: Cross multiply
    629.58x = 868.86 × 380.91
  4. Step 4: Simplify right side
    629.58x = 330,952.78
  5. Step 5: Solve for x
    x = 330,952.78/629.58
  6. Step 6: Final answer
    x = 525.68

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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.