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Finding the Fourth Proportional to 628.88, 867.81 and 349.09

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Solution

The fourth proportional to 628.88, 867.81 and 349.09 is: 481.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.88 : 867.81 = 349.09 : x
  2. Step 2: Convert to fraction form
    628.88/867.81 = 349.09/x
  3. Step 3: Cross multiply
    628.88x = 867.81 × 349.09
  4. Step 4: Simplify right side
    628.88x = 302,942.05
  5. Step 5: Solve for x
    x = 302,942.05/628.88
  6. Step 6: Final answer
    x = 481.72

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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.