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Finding the Fourth Proportional to 775.67, 1,161.41 and 723.02

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Solution

The fourth proportional to 775.67, 1,161.41 and 723.02 is: 1,082.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.67 : 1,161.41 = 723.02 : x
  2. Step 2: Convert to fraction form
    775.67/1,161.41 = 723.02/x
  3. Step 3: Cross multiply
    775.67x = 1,161.41 × 723.02
  4. Step 4: Simplify right side
    775.67x = 839,713.24
  5. Step 5: Solve for x
    x = 839,713.24/775.67
  6. Step 6: Final answer
    x = 1,082.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.