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Finding the Fourth Proportional to 1,362.12, 2,043.39 and 484.74

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Solution

The fourth proportional to 1,362.12, 2,043.39 and 484.74 is: 727.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.12 : 2,043.39 = 484.74 : x
  2. Step 2: Convert to fraction form
    1,362.12/2,043.39 = 484.74/x
  3. Step 3: Cross multiply
    1,362.12x = 2,043.39 × 484.74
  4. Step 4: Simplify right side
    1,362.12x = 990,512.87
  5. Step 5: Solve for x
    x = 990,512.87/1,362.12
  6. Step 6: Final answer
    x = 727.18

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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.