Home / 1,578.20-2,367.33-408.23

Finding the Fourth Proportional to 1,578.20, 2,367.33 and 408.23

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Solution

The fourth proportional to 1,578.20, 2,367.33 and 408.23 is: 612.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.20 : 2,367.33 = 408.23 : x
  2. Step 2: Convert to fraction form
    1,578.20/2,367.33 = 408.23/x
  3. Step 3: Cross multiply
    1,578.20x = 2,367.33 × 408.23
  4. Step 4: Simplify right side
    1,578.20x = 966,403.29
  5. Step 5: Solve for x
    x = 966,403.29/1,578.20
  6. Step 6: Final answer
    x = 612.35

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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.