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Finding the Fourth Proportional to 785.05, 1,082.74 and 696.59

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Solution

The fourth proportional to 785.05, 1,082.74 and 696.59 is: 960.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.05 : 1,082.74 = 696.59 : x
  2. Step 2: Convert to fraction form
    785.05/1,082.74 = 696.59/x
  3. Step 3: Cross multiply
    785.05x = 1,082.74 × 696.59
  4. Step 4: Simplify right side
    785.05x = 754,226.82
  5. Step 5: Solve for x
    x = 754,226.82/785.05
  6. Step 6: Final answer
    x = 960.74

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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.