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Finding the Fourth Proportional to 640.52, 884.04 and 378.56

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Solution

The fourth proportional to 640.52, 884.04 and 378.56 is: 522.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.52 : 884.04 = 378.56 : x
  2. Step 2: Convert to fraction form
    640.52/884.04 = 378.56/x
  3. Step 3: Cross multiply
    640.52x = 884.04 × 378.56
  4. Step 4: Simplify right side
    640.52x = 334,662.18
  5. Step 5: Solve for x
    x = 334,662.18/640.52
  6. Step 6: Final answer
    x = 522.49

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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.