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Finding the Fourth Proportional to 640.27, 958.84 and 445.47

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Solution

The fourth proportional to 640.27, 958.84 and 445.47 is: 667.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.27 : 958.84 = 445.47 : x
  2. Step 2: Convert to fraction form
    640.27/958.84 = 445.47/x
  3. Step 3: Cross multiply
    640.27x = 958.84 × 445.47
  4. Step 4: Simplify right side
    640.27x = 427,134.45
  5. Step 5: Solve for x
    x = 427,134.45/640.27
  6. Step 6: Final answer
    x = 667.12

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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.