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Finding the Fourth Proportional to 663.72, 995.36 and 316.86

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Solution

The fourth proportional to 663.72, 995.36 and 316.86 is: 475.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.72 : 995.36 = 316.86 : x
  2. Step 2: Convert to fraction form
    663.72/995.36 = 316.86/x
  3. Step 3: Cross multiply
    663.72x = 995.36 × 316.86
  4. Step 4: Simplify right side
    663.72x = 315,389.77
  5. Step 5: Solve for x
    x = 315,389.77/663.72
  6. Step 6: Final answer
    x = 475.18

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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.