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Finding the Fourth Proportional to 663.98, 995.98 and 317.24

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Solution

The fourth proportional to 663.98, 995.98 and 317.24 is: 475.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.98 : 995.98 = 317.24 : x
  2. Step 2: Convert to fraction form
    663.98/995.98 = 317.24/x
  3. Step 3: Cross multiply
    663.98x = 995.98 × 317.24
  4. Step 4: Simplify right side
    663.98x = 315,958.13
  5. Step 5: Solve for x
    x = 315,958.13/663.98
  6. Step 6: Final answer
    x = 475.85

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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.