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Finding the Fourth Proportional to 1,138.09, 1,709.73 and 809.83

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Solution

The fourth proportional to 1,138.09, 1,709.73 and 809.83 is: 1,216.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.09 : 1,709.73 = 809.83 : x
  2. Step 2: Convert to fraction form
    1,138.09/1,709.73 = 809.83/x
  3. Step 3: Cross multiply
    1,138.09x = 1,709.73 × 809.83
  4. Step 4: Simplify right side
    1,138.09x = 1,384,590.65
  5. Step 5: Solve for x
    x = 1,384,590.65/1,138.09
  6. Step 6: Final answer
    x = 1,216.59

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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.