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Finding the Fourth Proportional to 1,231.39, 1,846.62 and 480.81

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Solution

The fourth proportional to 1,231.39, 1,846.62 and 480.81 is: 721.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.39 : 1,846.62 = 480.81 : x
  2. Step 2: Convert to fraction form
    1,231.39/1,846.62 = 480.81/x
  3. Step 3: Cross multiply
    1,231.39x = 1,846.62 × 480.81
  4. Step 4: Simplify right side
    1,231.39x = 887,873.36
  5. Step 5: Solve for x
    x = 887,873.36/1,231.39
  6. Step 6: Final answer
    x = 721.03

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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.