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Finding the Fourth Proportional to 1,396.82, 2,095.24 and 422.92

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Solution

The fourth proportional to 1,396.82, 2,095.24 and 422.92 is: 634.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.82 : 2,095.24 = 422.92 : x
  2. Step 2: Convert to fraction form
    1,396.82/2,095.24 = 422.92/x
  3. Step 3: Cross multiply
    1,396.82x = 2,095.24 × 422.92
  4. Step 4: Simplify right side
    1,396.82x = 886,118.90
  5. Step 5: Solve for x
    x = 886,118.90/1,396.82
  6. Step 6: Final answer
    x = 634.38

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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.