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Finding the Fourth Proportional to 782.97, 1,080.86 and 685.77

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Solution

The fourth proportional to 782.97, 1,080.86 and 685.77 is: 946.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.97 : 1,080.86 = 685.77 : x
  2. Step 2: Convert to fraction form
    782.97/1,080.86 = 685.77/x
  3. Step 3: Cross multiply
    782.97x = 1,080.86 × 685.77
  4. Step 4: Simplify right side
    782.97x = 741,217.93
  5. Step 5: Solve for x
    x = 741,217.93/782.97
  6. Step 6: Final answer
    x = 946.67

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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.