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Finding the Fourth Proportional to 629.84, 869.28 and 396.92

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Solution

The fourth proportional to 629.84, 869.28 and 396.92 is: 547.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.84 : 869.28 = 396.92 : x
  2. Step 2: Convert to fraction form
    629.84/869.28 = 396.92/x
  3. Step 3: Cross multiply
    629.84x = 869.28 × 396.92
  4. Step 4: Simplify right side
    629.84x = 345,034.62
  5. Step 5: Solve for x
    x = 345,034.62/629.84
  6. Step 6: Final answer
    x = 547.81

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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.