Home / 1,540.07-2,310.78-809.48

Finding the Fourth Proportional to 1,540.07, 2,310.78 and 809.48

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Solution

The fourth proportional to 1,540.07, 2,310.78 and 809.48 is: 1,214.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.07 : 2,310.78 = 809.48 : x
  2. Step 2: Convert to fraction form
    1,540.07/2,310.78 = 809.48/x
  3. Step 3: Cross multiply
    1,540.07x = 2,310.78 × 809.48
  4. Step 4: Simplify right side
    1,540.07x = 1,870,518.64
  5. Step 5: Solve for x
    x = 1,870,518.64/1,540.07
  6. Step 6: Final answer
    x = 1,214.57

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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.