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Finding the Fourth Proportional to 2,452.91, 3,679.73 and 809.63

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Solution

The fourth proportional to 2,452.91, 3,679.73 and 809.63 is: 1,214.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.91 : 3,679.73 = 809.63 : x
  2. Step 2: Convert to fraction form
    2,452.91/3,679.73 = 809.63/x
  3. Step 3: Cross multiply
    2,452.91x = 3,679.73 × 809.63
  4. Step 4: Simplify right side
    2,452.91x = 2,979,219.80
  5. Step 5: Solve for x
    x = 2,979,219.80/2,452.91
  6. Step 6: Final answer
    x = 1,214.57

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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.