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Finding the Fourth Proportional to 1,310.74, 1,808.83 and 721.33

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Solution

The fourth proportional to 1,310.74, 1,808.83 and 721.33 is: 995.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.74 : 1,808.83 = 721.33 : x
  2. Step 2: Convert to fraction form
    1,310.74/1,808.83 = 721.33/x
  3. Step 3: Cross multiply
    1,310.74x = 1,808.83 × 721.33
  4. Step 4: Simplify right side
    1,310.74x = 1,304,759.72
  5. Step 5: Solve for x
    x = 1,304,759.72/1,310.74
  6. Step 6: Final answer
    x = 995.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.