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Finding the Fourth Proportional to 1,396.91, 2,092.17 and 666.99

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Solution

The fourth proportional to 1,396.91, 2,092.17 and 666.99 is: 998.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.91 : 2,092.17 = 666.99 : x
  2. Step 2: Convert to fraction form
    1,396.91/2,092.17 = 666.99/x
  3. Step 3: Cross multiply
    1,396.91x = 2,092.17 × 666.99
  4. Step 4: Simplify right side
    1,396.91x = 1,395,453.13
  5. Step 5: Solve for x
    x = 1,395,453.13/1,396.91
  6. Step 6: Final answer
    x = 998.96

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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.