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Finding the Fourth Proportional to 666.29, 998.63 and 276.09

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Solution

The fourth proportional to 666.29, 998.63 and 276.09 is: 413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.29 : 998.63 = 276.09 : x
  2. Step 2: Convert to fraction form
    666.29/998.63 = 276.09/x
  3. Step 3: Cross multiply
    666.29x = 998.63 × 276.09
  4. Step 4: Simplify right side
    666.29x = 275,710.38
  5. Step 5: Solve for x
    x = 275,710.38/666.29
  6. Step 6: Final answer
    x = 413.80

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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.