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Finding the Fourth Proportional to 786.19, 1,091.71 and 779.71

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Solution

The fourth proportional to 786.19, 1,091.71 and 779.71 is: 1,082.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.19 : 1,091.71 = 779.71 : x
  2. Step 2: Convert to fraction form
    786.19/1,091.71 = 779.71/x
  3. Step 3: Cross multiply
    786.19x = 1,091.71 × 779.71
  4. Step 4: Simplify right side
    786.19x = 851,217.20
  5. Step 5: Solve for x
    x = 851,217.20/786.19
  6. Step 6: Final answer
    x = 1,082.71

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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.