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Finding the Fourth Proportional to 663.37, 994.31 and 316.42

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Solution

The fourth proportional to 663.37, 994.31 and 316.42 is: 474.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.37 : 994.31 = 316.42 : x
  2. Step 2: Convert to fraction form
    663.37/994.31 = 316.42/x
  3. Step 3: Cross multiply
    663.37x = 994.31 × 316.42
  4. Step 4: Simplify right side
    663.37x = 314,615.50
  5. Step 5: Solve for x
    x = 314,615.50/663.37
  6. Step 6: Final answer
    x = 474.27

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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.