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Finding the Fourth Proportional to 782.82, 1,082.61 and 699.80

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Solution

The fourth proportional to 782.82, 1,082.61 and 699.80 is: 967.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.82 : 1,082.61 = 699.80 : x
  2. Step 2: Convert to fraction form
    782.82/1,082.61 = 699.80/x
  3. Step 3: Cross multiply
    782.82x = 1,082.61 × 699.80
  4. Step 4: Simplify right side
    782.82x = 757,605.06
  5. Step 5: Solve for x
    x = 757,605.06/782.82
  6. Step 6: Final answer
    x = 967.79

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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.