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Finding the Fourth Proportional to 638.05, 956.46 and 349.28

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Solution

The fourth proportional to 638.05, 956.46 and 349.28 is: 523.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.05 : 956.46 = 349.28 : x
  2. Step 2: Convert to fraction form
    638.05/956.46 = 349.28/x
  3. Step 3: Cross multiply
    638.05x = 956.46 × 349.28
  4. Step 4: Simplify right side
    638.05x = 334,072.35
  5. Step 5: Solve for x
    x = 334,072.35/638.05
  6. Step 6: Final answer
    x = 523.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.