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Finding the Fourth Proportional to 640.75, 884.09 and 378.62

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Solution

The fourth proportional to 640.75, 884.09 and 378.62 is: 522.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.75 : 884.09 = 378.62 : x
  2. Step 2: Convert to fraction form
    640.75/884.09 = 378.62/x
  3. Step 3: Cross multiply
    640.75x = 884.09 × 378.62
  4. Step 4: Simplify right side
    640.75x = 334,732.26
  5. Step 5: Solve for x
    x = 334,732.26/640.75
  6. Step 6: Final answer
    x = 522.41

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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.