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Finding the Fourth Proportional to 1,396.76, 2,094.86 and 422.62

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Solution

The fourth proportional to 1,396.76, 2,094.86 and 422.62 is: 633.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.76 : 2,094.86 = 422.62 : x
  2. Step 2: Convert to fraction form
    1,396.76/2,094.86 = 422.62/x
  3. Step 3: Cross multiply
    1,396.76x = 2,094.86 × 422.62
  4. Step 4: Simplify right side
    1,396.76x = 885,329.73
  5. Step 5: Solve for x
    x = 885,329.73/1,396.76
  6. Step 6: Final answer
    x = 633.85

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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.