Home / 1,549.08-2,324.64-819.17

Finding the Fourth Proportional to 1,549.08, 2,324.64 and 819.17

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Solution

The fourth proportional to 1,549.08, 2,324.64 and 819.17 is: 1,229.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.08 : 2,324.64 = 819.17 : x
  2. Step 2: Convert to fraction form
    1,549.08/2,324.64 = 819.17/x
  3. Step 3: Cross multiply
    1,549.08x = 2,324.64 × 819.17
  4. Step 4: Simplify right side
    1,549.08x = 1,904,275.35
  5. Step 5: Solve for x
    x = 1,904,275.35/1,549.08
  6. Step 6: Final answer
    x = 1,229.29

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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.