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Finding the Fourth Proportional to 663.96, 997.02 and 409.08

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Solution

The fourth proportional to 663.96, 997.02 and 409.08 is: 614.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.96 : 997.02 = 409.08 : x
  2. Step 2: Convert to fraction form
    663.96/997.02 = 409.08/x
  3. Step 3: Cross multiply
    663.96x = 997.02 × 409.08
  4. Step 4: Simplify right side
    663.96x = 407,860.94
  5. Step 5: Solve for x
    x = 407,860.94/663.96
  6. Step 6: Final answer
    x = 614.29

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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.