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Finding the Fourth Proportional to 1,310.73, 1,808.83 and 721.26

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Solution

The fourth proportional to 1,310.73, 1,808.83 and 721.26 is: 995.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.73 : 1,808.83 = 721.26 : x
  2. Step 2: Convert to fraction form
    1,310.73/1,808.83 = 721.26/x
  3. Step 3: Cross multiply
    1,310.73x = 1,808.83 × 721.26
  4. Step 4: Simplify right side
    1,310.73x = 1,304,637.63
  5. Step 5: Solve for x
    x = 1,304,637.63/1,310.73
  6. Step 6: Final answer
    x = 995.35

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1.5x scale

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.