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Finding the Fourth Proportional to 1,407.33, 1,942.41 and 935.27

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Solution

The fourth proportional to 1,407.33, 1,942.41 and 935.27 is: 1,290.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.33 : 1,942.41 = 935.27 : x
  2. Step 2: Convert to fraction form
    1,407.33/1,942.41 = 935.27/x
  3. Step 3: Cross multiply
    1,407.33x = 1,942.41 × 935.27
  4. Step 4: Simplify right side
    1,407.33x = 1,816,668.09
  5. Step 5: Solve for x
    x = 1,816,668.09/1,407.33
  6. Step 6: Final answer
    x = 1,290.86

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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.