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Finding the Fourth Proportional to 1,084.82, 1,496.49 and 691.16

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Solution

The fourth proportional to 1,084.82, 1,496.49 and 691.16 is: 953.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.82 : 1,496.49 = 691.16 : x
  2. Step 2: Convert to fraction form
    1,084.82/1,496.49 = 691.16/x
  3. Step 3: Cross multiply
    1,084.82x = 1,496.49 × 691.16
  4. Step 4: Simplify right side
    1,084.82x = 1,034,314.03
  5. Step 5: Solve for x
    x = 1,034,314.03/1,084.82
  6. Step 6: Final answer
    x = 953.44

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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.