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Finding the Fourth Proportional to 666.90, 998.46 and 422.82

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Solution

The fourth proportional to 666.90, 998.46 and 422.82 is: 633.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.90 : 998.46 = 422.82 : x
  2. Step 2: Convert to fraction form
    666.90/998.46 = 422.82/x
  3. Step 3: Cross multiply
    666.90x = 998.46 × 422.82
  4. Step 4: Simplify right side
    666.90x = 422,168.86
  5. Step 5: Solve for x
    x = 422,168.86/666.90
  6. Step 6: Final answer
    x = 633.03

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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.