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Finding the Fourth Proportional to 640.43, 884.22 and 431.09

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Solution

The fourth proportional to 640.43, 884.22 and 431.09 is: 595.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.43 : 884.22 = 431.09 : x
  2. Step 2: Convert to fraction form
    640.43/884.22 = 431.09/x
  3. Step 3: Cross multiply
    640.43x = 884.22 × 431.09
  4. Step 4: Simplify right side
    640.43x = 381,173.98
  5. Step 5: Solve for x
    x = 381,173.98/640.43
  6. Step 6: Final answer
    x = 595.19

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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.