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Finding the Fourth Proportional to 663.86, 994.43 and 316.14

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Solution

The fourth proportional to 663.86, 994.43 and 316.14 is: 473.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.86 : 994.43 = 316.14 : x
  2. Step 2: Convert to fraction form
    663.86/994.43 = 316.14/x
  3. Step 3: Cross multiply
    663.86x = 994.43 × 316.14
  4. Step 4: Simplify right side
    663.86x = 314,373.79
  5. Step 5: Solve for x
    x = 314,373.79/663.86
  6. Step 6: Final answer
    x = 473.56

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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.