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Finding the Fourth Proportional to 1,578.92, 2,179.90 and 1,205.24

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Solution

The fourth proportional to 1,578.92, 2,179.90 and 1,205.24 is: 1,663.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.92 : 2,179.90 = 1,205.24 : x
  2. Step 2: Convert to fraction form
    1,578.92/2,179.90 = 1,205.24/x
  3. Step 3: Cross multiply
    1,578.92x = 2,179.90 × 1,205.24
  4. Step 4: Simplify right side
    1,578.92x = 2,627,302.68
  5. Step 5: Solve for x
    x = 2,627,302.68/1,578.92
  6. Step 6: Final answer
    x = 1,663.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.