Home / 1,578.04-2,367.78-809.08

Finding the Fourth Proportional to 1,578.04, 2,367.78 and 809.08

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Solution

The fourth proportional to 1,578.04, 2,367.78 and 809.08 is: 1,213.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.04 : 2,367.78 = 809.08 : x
  2. Step 2: Convert to fraction form
    1,578.04/2,367.78 = 809.08/x
  3. Step 3: Cross multiply
    1,578.04x = 2,367.78 × 809.08
  4. Step 4: Simplify right side
    1,578.04x = 1,915,723.44
  5. Step 5: Solve for x
    x = 1,915,723.44/1,578.04
  6. Step 6: Final answer
    x = 1,213.99

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1.5x scale

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.