Home / 1,486.24-2,227.92-512.08

Finding the Fourth Proportional to 1,486.24, 2,227.92 and 512.08

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Solution

The fourth proportional to 1,486.24, 2,227.92 and 512.08 is: 767.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.24 : 2,227.92 = 512.08 : x
  2. Step 2: Convert to fraction form
    1,486.24/2,227.92 = 512.08/x
  3. Step 3: Cross multiply
    1,486.24x = 2,227.92 × 512.08
  4. Step 4: Simplify right side
    1,486.24x = 1,140,873.27
  5. Step 5: Solve for x
    x = 1,140,873.27/1,486.24
  6. Step 6: Final answer
    x = 767.62

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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.