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Finding the Fourth Proportional to 1,368.33, 2,049.57 and 906.33

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Solution

The fourth proportional to 1,368.33, 2,049.57 and 906.33 is: 1,357.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.33 : 2,049.57 = 906.33 : x
  2. Step 2: Convert to fraction form
    1,368.33/2,049.57 = 906.33/x
  3. Step 3: Cross multiply
    1,368.33x = 2,049.57 × 906.33
  4. Step 4: Simplify right side
    1,368.33x = 1,857,586.78
  5. Step 5: Solve for x
    x = 1,857,586.78/1,368.33
  6. Step 6: Final answer
    x = 1,357.56

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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.