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Finding the Fourth Proportional to 663.31, 994.36 and 316.43

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Solution

The fourth proportional to 663.31, 994.36 and 316.43 is: 474.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.31 : 994.36 = 316.43 : x
  2. Step 2: Convert to fraction form
    663.31/994.36 = 316.43/x
  3. Step 3: Cross multiply
    663.31x = 994.36 × 316.43
  4. Step 4: Simplify right side
    663.31x = 314,645.33
  5. Step 5: Solve for x
    x = 314,645.33/663.31
  6. Step 6: Final answer
    x = 474.36

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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.