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Finding the Fourth Proportional to 1,396.65, 2,095.08 and 422.83

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Solution

The fourth proportional to 1,396.65, 2,095.08 and 422.83 is: 634.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.65 : 2,095.08 = 422.83 : x
  2. Step 2: Convert to fraction form
    1,396.65/2,095.08 = 422.83/x
  3. Step 3: Cross multiply
    1,396.65x = 2,095.08 × 422.83
  4. Step 4: Simplify right side
    1,396.65x = 885,862.68
  5. Step 5: Solve for x
    x = 885,862.68/1,396.65
  6. Step 6: Final answer
    x = 634.28

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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.