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Finding the Fourth Proportional to 2,301.80, 3,454.42 and 896.44

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Solution

The fourth proportional to 2,301.80, 3,454.42 and 896.44 is: 1,345.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.80 : 3,454.42 = 896.44 : x
  2. Step 2: Convert to fraction form
    2,301.80/3,454.42 = 896.44/x
  3. Step 3: Cross multiply
    2,301.80x = 3,454.42 × 896.44
  4. Step 4: Simplify right side
    2,301.80x = 3,096,680.26
  5. Step 5: Solve for x
    x = 3,096,680.26/2,301.80
  6. Step 6: Final answer
    x = 1,345.33

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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.