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Finding the Fourth Proportional to 663.85, 995.07 and 317.02

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Solution

The fourth proportional to 663.85, 995.07 and 317.02 is: 475.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.85 : 995.07 = 317.02 : x
  2. Step 2: Convert to fraction form
    663.85/995.07 = 317.02/x
  3. Step 3: Cross multiply
    663.85x = 995.07 × 317.02
  4. Step 4: Simplify right side
    663.85x = 315,457.09
  5. Step 5: Solve for x
    x = 315,457.09/663.85
  6. Step 6: Final answer
    x = 475.19

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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.