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Finding the Fourth Proportional to 1,310.50, 1,808.49 and 721.09

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Solution

The fourth proportional to 1,310.50, 1,808.49 and 721.09 is: 995.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.50 : 1,808.49 = 721.09 : x
  2. Step 2: Convert to fraction form
    1,310.50/1,808.49 = 721.09/x
  3. Step 3: Cross multiply
    1,310.50x = 1,808.49 × 721.09
  4. Step 4: Simplify right side
    1,310.50x = 1,304,084.05
  5. Step 5: Solve for x
    x = 1,304,084.05/1,310.50
  6. Step 6: Final answer
    x = 995.10

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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.