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Finding the Fourth Proportional to 665.39, 998.08 and 299.75

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Solution

The fourth proportional to 665.39, 998.08 and 299.75 is: 449.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.39 : 998.08 = 299.75 : x
  2. Step 2: Convert to fraction form
    665.39/998.08 = 299.75/x
  3. Step 3: Cross multiply
    665.39x = 998.08 × 299.75
  4. Step 4: Simplify right side
    665.39x = 299,167.99
  5. Step 5: Solve for x
    x = 299,167.99/665.39
  6. Step 6: Final answer
    x = 449.62

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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.