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Finding the Fourth Proportional to 779.73, 1,083.25 and 772.59

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Solution

The fourth proportional to 779.73, 1,083.25 and 772.59 is: 1,073.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.73 : 1,083.25 = 772.59 : x
  2. Step 2: Convert to fraction form
    779.73/1,083.25 = 772.59/x
  3. Step 3: Cross multiply
    779.73x = 1,083.25 × 772.59
  4. Step 4: Simplify right side
    779.73x = 836,904.88
  5. Step 5: Solve for x
    x = 836,904.88/779.73
  6. Step 6: Final answer
    x = 1,073.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.