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Finding the Fourth Proportional to 2,439.44, 3,659.10 and 684.56

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Solution

The fourth proportional to 2,439.44, 3,659.10 and 684.56 is: 1,026.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439.44 : 3,659.10 = 684.56 : x
  2. Step 2: Convert to fraction form
    2,439.44/3,659.10 = 684.56/x
  3. Step 3: Cross multiply
    2,439.44x = 3,659.10 × 684.56
  4. Step 4: Simplify right side
    2,439.44x = 2,504,873.50
  5. Step 5: Solve for x
    x = 2,504,873.50/2,439.44
  6. Step 6: Final answer
    x = 1,026.82

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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.