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Finding the Fourth Proportional to 664.67, 996.10 and 404.76

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Solution

The fourth proportional to 664.67, 996.10 and 404.76 is: 606.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.67 : 996.10 = 404.76 : x
  2. Step 2: Convert to fraction form
    664.67/996.10 = 404.76/x
  3. Step 3: Cross multiply
    664.67x = 996.10 × 404.76
  4. Step 4: Simplify right side
    664.67x = 403,184.16
  5. Step 5: Solve for x
    x = 403,184.16/664.67
  6. Step 6: Final answer
    x = 606.59

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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.