Home / 1,511.93-2,268.11-537.80

Finding the Fourth Proportional to 1,511.93, 2,268.11 and 537.80

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Solution

The fourth proportional to 1,511.93, 2,268.11 and 537.80 is: 806.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.93 : 2,268.11 = 537.80 : x
  2. Step 2: Convert to fraction form
    1,511.93/2,268.11 = 537.80/x
  3. Step 3: Cross multiply
    1,511.93x = 2,268.11 × 537.80
  4. Step 4: Simplify right side
    1,511.93x = 1,219,789.56
  5. Step 5: Solve for x
    x = 1,219,789.56/1,511.93
  6. Step 6: Final answer
    x = 806.78

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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.