Home / 1,511.27-2,267.34-537.45

Finding the Fourth Proportional to 1,511.27, 2,267.34 and 537.45

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Solution

The fourth proportional to 1,511.27, 2,267.34 and 537.45 is: 806.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.27 : 2,267.34 = 537.45 : x
  2. Step 2: Convert to fraction form
    1,511.27/2,267.34 = 537.45/x
  3. Step 3: Cross multiply
    1,511.27x = 2,267.34 × 537.45
  4. Step 4: Simplify right side
    1,511.27x = 1,218,581.88
  5. Step 5: Solve for x
    x = 1,218,581.88/1,511.27
  6. Step 6: Final answer
    x = 806.33

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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.