Home / 1,631.14-2,448.53-809.19

Finding the Fourth Proportional to 1,631.14, 2,448.53 and 809.19

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Solution

The fourth proportional to 1,631.14, 2,448.53 and 809.19 is: 1,214.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.14 : 2,448.53 = 809.19 : x
  2. Step 2: Convert to fraction form
    1,631.14/2,448.53 = 809.19/x
  3. Step 3: Cross multiply
    1,631.14x = 2,448.53 × 809.19
  4. Step 4: Simplify right side
    1,631.14x = 1,981,324.98
  5. Step 5: Solve for x
    x = 1,981,324.98/1,631.14
  6. Step 6: Final answer
    x = 1,214.69

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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.