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Finding the Fourth Proportional to 663.68, 996.22 and 317.31

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Solution

The fourth proportional to 663.68, 996.22 and 317.31 is: 476.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.68 : 996.22 = 317.31 : x
  2. Step 2: Convert to fraction form
    663.68/996.22 = 317.31/x
  3. Step 3: Cross multiply
    663.68x = 996.22 × 317.31
  4. Step 4: Simplify right side
    663.68x = 316,107.23
  5. Step 5: Solve for x
    x = 316,107.23/663.68
  6. Step 6: Final answer
    x = 476.29

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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.