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Finding the Fourth Proportional to 664.88, 996.42 and 645.17

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Solution

The fourth proportional to 664.88, 996.42 and 645.17 is: 966.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.88 : 996.42 = 645.17 : x
  2. Step 2: Convert to fraction form
    664.88/996.42 = 645.17/x
  3. Step 3: Cross multiply
    664.88x = 996.42 × 645.17
  4. Step 4: Simplify right side
    664.88x = 642,860.29
  5. Step 5: Solve for x
    x = 642,860.29/664.88
  6. Step 6: Final answer
    x = 966.88

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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.