Home / 1,609.24-2,414.07-513.22

Finding the Fourth Proportional to 1,609.24, 2,414.07 and 513.22

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Solution

The fourth proportional to 1,609.24, 2,414.07 and 513.22 is: 769.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.24 : 2,414.07 = 513.22 : x
  2. Step 2: Convert to fraction form
    1,609.24/2,414.07 = 513.22/x
  3. Step 3: Cross multiply
    1,609.24x = 2,414.07 × 513.22
  4. Step 4: Simplify right side
    1,609.24x = 1,238,949.01
  5. Step 5: Solve for x
    x = 1,238,949.01/1,609.24
  6. Step 6: Final answer
    x = 769.90

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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.