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Finding the Fourth Proportional to 2,452.97, 3,680.40 and 809.48

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Solution

The fourth proportional to 2,452.97, 3,680.40 and 809.48 is: 1,214.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.97 : 3,680.40 = 809.48 : x
  2. Step 2: Convert to fraction form
    2,452.97/3,680.40 = 809.48/x
  3. Step 3: Cross multiply
    2,452.97x = 3,680.40 × 809.48
  4. Step 4: Simplify right side
    2,452.97x = 2,979,210.19
  5. Step 5: Solve for x
    x = 2,979,210.19/2,452.97
  6. Step 6: Final answer
    x = 1,214.53

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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.