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Finding the Fourth Proportional to 640.97, 884.53 and 361.27

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Solution

The fourth proportional to 640.97, 884.53 and 361.27 is: 498.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.97 : 884.53 = 361.27 : x
  2. Step 2: Convert to fraction form
    640.97/884.53 = 361.27/x
  3. Step 3: Cross multiply
    640.97x = 884.53 × 361.27
  4. Step 4: Simplify right side
    640.97x = 319,552.39
  5. Step 5: Solve for x
    x = 319,552.39/640.97
  6. Step 6: Final answer
    x = 498.55

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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.