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Finding the Fourth Proportional to 664.59, 997.08 and 299.31

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Solution

The fourth proportional to 664.59, 997.08 and 299.31 is: 449.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.59 : 997.08 = 299.31 : x
  2. Step 2: Convert to fraction form
    664.59/997.08 = 299.31/x
  3. Step 3: Cross multiply
    664.59x = 997.08 × 299.31
  4. Step 4: Simplify right side
    664.59x = 298,436.01
  5. Step 5: Solve for x
    x = 298,436.01/664.59
  6. Step 6: Final answer
    x = 449.05

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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.