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Finding the Fourth Proportional to 666.04, 997.96 and 409

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Solution

The fourth proportional to 666.04, 997.96 and 409 is: 612.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.04 : 997.96 = 409 : x
  2. Step 2: Convert to fraction form
    666.04/997.96 = 409/x
  3. Step 3: Cross multiply
    666.04x = 997.96 × 409
  4. Step 4: Simplify right side
    666.04x = 408,165.64
  5. Step 5: Solve for x
    x = 408,165.64/666.04
  6. Step 6: Final answer
    x = 612.82

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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.