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Finding the Fourth Proportional to 775.17, 1,163.57 and 313.27

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Solution

The fourth proportional to 775.17, 1,163.57 and 313.27 is: 470.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.17 : 1,163.57 = 313.27 : x
  2. Step 2: Convert to fraction form
    775.17/1,163.57 = 313.27/x
  3. Step 3: Cross multiply
    775.17x = 1,163.57 × 313.27
  4. Step 4: Simplify right side
    775.17x = 364,507.10
  5. Step 5: Solve for x
    x = 364,507.10/775.17
  6. Step 6: Final answer
    x = 470.23

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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.