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Finding the Fourth Proportional to 1,696.43, 2,342.37 and 1,174.79

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Solution

The fourth proportional to 1,696.43, 2,342.37 and 1,174.79 is: 1,622.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.43 : 2,342.37 = 1,174.79 : x
  2. Step 2: Convert to fraction form
    1,696.43/2,342.37 = 1,174.79/x
  3. Step 3: Cross multiply
    1,696.43x = 2,342.37 × 1,174.79
  4. Step 4: Simplify right side
    1,696.43x = 2,751,781.14
  5. Step 5: Solve for x
    x = 2,751,781.14/1,696.43
  6. Step 6: Final answer
    x = 1,622.11

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Why These Related Problems?

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