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Finding the Fourth Proportional to 1,789.36, 2,684 and 490.83

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Solution

The fourth proportional to 1,789.36, 2,684 and 490.83 is: 736.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.36 : 2,684 = 490.83 : x
  2. Step 2: Convert to fraction form
    1,789.36/2,684 = 490.83/x
  3. Step 3: Cross multiply
    1,789.36x = 2,684 × 490.83
  4. Step 4: Simplify right side
    1,789.36x = 1,317,374.30
  5. Step 5: Solve for x
    x = 1,317,374.30/1,789.36
  6. Step 6: Final answer
    x = 736.23

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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.