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Finding the Fourth Proportional to 1,350.35, 2,025.03 and 484.46

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Solution

The fourth proportional to 1,350.35, 2,025.03 and 484.46 is: 726.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.35 : 2,025.03 = 484.46 : x
  2. Step 2: Convert to fraction form
    1,350.35/2,025.03 = 484.46/x
  3. Step 3: Cross multiply
    1,350.35x = 2,025.03 × 484.46
  4. Step 4: Simplify right side
    1,350.35x = 981,046.03
  5. Step 5: Solve for x
    x = 981,046.03/1,350.35
  6. Step 6: Final answer
    x = 726.51

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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.