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Finding the Fourth Proportional to 629.61, 868.89 and 380.84

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Solution

The fourth proportional to 629.61, 868.89 and 380.84 is: 525.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.61 : 868.89 = 380.84 : x
  2. Step 2: Convert to fraction form
    629.61/868.89 = 380.84/x
  3. Step 3: Cross multiply
    629.61x = 868.89 × 380.84
  4. Step 4: Simplify right side
    629.61x = 330,908.07
  5. Step 5: Solve for x
    x = 330,908.07/629.61
  6. Step 6: Final answer
    x = 525.58

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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.