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Finding the Fourth Proportional to 785.75, 1,183.22 and 581.75

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Solution

The fourth proportional to 785.75, 1,183.22 and 581.75 is: 876.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.75 : 1,183.22 = 581.75 : x
  2. Step 2: Convert to fraction form
    785.75/1,183.22 = 581.75/x
  3. Step 3: Cross multiply
    785.75x = 1,183.22 × 581.75
  4. Step 4: Simplify right side
    785.75x = 688,338.24
  5. Step 5: Solve for x
    x = 688,338.24/785.75
  6. Step 6: Final answer
    x = 876.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.