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Finding the Fourth Proportional to 1,351, 2,025.24 and 484.84

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Solution

The fourth proportional to 1,351, 2,025.24 and 484.84 is: 726.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351 : 2,025.24 = 484.84 : x
  2. Step 2: Convert to fraction form
    1,351/2,025.24 = 484.84/x
  3. Step 3: Cross multiply
    1,351x = 2,025.24 × 484.84
  4. Step 4: Simplify right side
    1,351x = 981,917.36
  5. Step 5: Solve for x
    x = 981,917.36/1,351
  6. Step 6: Final answer
    x = 726.81

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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.