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Finding the Fourth Proportional to 629.70, 868.97 and 349.95

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Solution

The fourth proportional to 629.70, 868.97 and 349.95 is: 482.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.70 : 868.97 = 349.95 : x
  2. Step 2: Convert to fraction form
    629.70/868.97 = 349.95/x
  3. Step 3: Cross multiply
    629.70x = 868.97 × 349.95
  4. Step 4: Simplify right side
    629.70x = 304,089.96
  5. Step 5: Solve for x
    x = 304,089.96/629.70
  6. Step 6: Final answer
    x = 482.91

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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.