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Finding the Fourth Proportional to 666.05, 998.26 and 405.23

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Solution

The fourth proportional to 666.05, 998.26 and 405.23 is: 607.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.05 : 998.26 = 405.23 : x
  2. Step 2: Convert to fraction form
    666.05/998.26 = 405.23/x
  3. Step 3: Cross multiply
    666.05x = 998.26 × 405.23
  4. Step 4: Simplify right side
    666.05x = 404,524.90
  5. Step 5: Solve for x
    x = 404,524.90/666.05
  6. Step 6: Final answer
    x = 607.35

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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.