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Finding the Fourth Proportional to 775.57, 1,163.19 and 364.90

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Solution

The fourth proportional to 775.57, 1,163.19 and 364.90 is: 547.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.57 : 1,163.19 = 364.90 : x
  2. Step 2: Convert to fraction form
    775.57/1,163.19 = 364.90/x
  3. Step 3: Cross multiply
    775.57x = 1,163.19 × 364.90
  4. Step 4: Simplify right side
    775.57x = 424,448.03
  5. Step 5: Solve for x
    x = 424,448.03/775.57
  6. Step 6: Final answer
    x = 547.27

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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.