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Finding the Fourth Proportional to 1,696.33, 2,339.85 and 1,172.26

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Solution

The fourth proportional to 1,696.33, 2,339.85 and 1,172.26 is: 1,616.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.33 : 2,339.85 = 1,172.26 : x
  2. Step 2: Convert to fraction form
    1,696.33/2,339.85 = 1,172.26/x
  3. Step 3: Cross multiply
    1,696.33x = 2,339.85 × 1,172.26
  4. Step 4: Simplify right side
    1,696.33x = 2,742,912.56
  5. Step 5: Solve for x
    x = 2,742,912.56/1,696.33
  6. Step 6: Final answer
    x = 1,616.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.