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Finding the Fourth Proportional to 1,118.75, 1,676.09 and 809.87

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Solution

The fourth proportional to 1,118.75, 1,676.09 and 809.87 is: 1,213.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.75 : 1,676.09 = 809.87 : x
  2. Step 2: Convert to fraction form
    1,118.75/1,676.09 = 809.87/x
  3. Step 3: Cross multiply
    1,118.75x = 1,676.09 × 809.87
  4. Step 4: Simplify right side
    1,118.75x = 1,357,408.65
  5. Step 5: Solve for x
    x = 1,357,408.65/1,118.75
  6. Step 6: Final answer
    x = 1,213.33

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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.