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Finding the Fourth Proportional to 666.14, 998.29 and 422.83

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Solution

The fourth proportional to 666.14, 998.29 and 422.83 is: 633.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.14 : 998.29 = 422.83 : x
  2. Step 2: Convert to fraction form
    666.14/998.29 = 422.83/x
  3. Step 3: Cross multiply
    666.14x = 998.29 × 422.83
  4. Step 4: Simplify right side
    666.14x = 422,106.96
  5. Step 5: Solve for x
    x = 422,106.96/666.14
  6. Step 6: Final answer
    x = 633.67

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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.