Home / 1,511.14-2,267.31-537.92

Finding the Fourth Proportional to 1,511.14, 2,267.31 and 537.92

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Solution

The fourth proportional to 1,511.14, 2,267.31 and 537.92 is: 807.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.14 : 2,267.31 = 537.92 : x
  2. Step 2: Convert to fraction form
    1,511.14/2,267.31 = 537.92/x
  3. Step 3: Cross multiply
    1,511.14x = 2,267.31 × 537.92
  4. Step 4: Simplify right side
    1,511.14x = 1,219,631.40
  5. Step 5: Solve for x
    x = 1,219,631.40/1,511.14
  6. Step 6: Final answer
    x = 807.09

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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.