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Finding the Fourth Proportional to 1,310.74, 1,808.75 and 721.16

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Solution

The fourth proportional to 1,310.74, 1,808.75 and 721.16 is: 995.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.74 : 1,808.75 = 721.16 : x
  2. Step 2: Convert to fraction form
    1,310.74/1,808.75 = 721.16/x
  3. Step 3: Cross multiply
    1,310.74x = 1,808.75 × 721.16
  4. Step 4: Simplify right side
    1,310.74x = 1,304,404.47
  5. Step 5: Solve for x
    x = 1,304,404.47/1,310.74
  6. Step 6: Final answer
    x = 995.17

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