Home / 1,467.30-2,198.83-809.31

Finding the Fourth Proportional to 1,467.30, 2,198.83 and 809.31

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Solution

The fourth proportional to 1,467.30, 2,198.83 and 809.31 is: 1,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.30 : 2,198.83 = 809.31 : x
  2. Step 2: Convert to fraction form
    1,467.30/2,198.83 = 809.31/x
  3. Step 3: Cross multiply
    1,467.30x = 2,198.83 × 809.31
  4. Step 4: Simplify right side
    1,467.30x = 1,779,535.11
  5. Step 5: Solve for x
    x = 1,779,535.11/1,467.30
  6. Step 6: Final answer
    x = 1,212.80

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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.