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Finding the Fourth Proportional to 1,081.91, 1,491.69 and 902.54

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Solution

The fourth proportional to 1,081.91, 1,491.69 and 902.54 is: 1,244.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.91 : 1,491.69 = 902.54 : x
  2. Step 2: Convert to fraction form
    1,081.91/1,491.69 = 902.54/x
  3. Step 3: Cross multiply
    1,081.91x = 1,491.69 × 902.54
  4. Step 4: Simplify right side
    1,081.91x = 1,346,297.92
  5. Step 5: Solve for x
    x = 1,346,297.92/1,081.91
  6. Step 6: Final answer
    x = 1,244.37

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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.