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Finding the Fourth Proportional to 664.83, 996.17 and 404.91

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Solution

The fourth proportional to 664.83, 996.17 and 404.91 is: 606.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.83 : 996.17 = 404.91 : x
  2. Step 2: Convert to fraction form
    664.83/996.17 = 404.91/x
  3. Step 3: Cross multiply
    664.83x = 996.17 × 404.91
  4. Step 4: Simplify right side
    664.83x = 403,357.17
  5. Step 5: Solve for x
    x = 403,357.17/664.83
  6. Step 6: Final answer
    x = 606.71

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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.