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Finding the Fourth Proportional to 775.36, 1,163.14 and 288.35

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Solution

The fourth proportional to 775.36, 1,163.14 and 288.35 is: 432.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.36 : 1,163.14 = 288.35 : x
  2. Step 2: Convert to fraction form
    775.36/1,163.14 = 288.35/x
  3. Step 3: Cross multiply
    775.36x = 1,163.14 × 288.35
  4. Step 4: Simplify right side
    775.36x = 335,391.42
  5. Step 5: Solve for x
    x = 335,391.42/775.36
  6. Step 6: Final answer
    x = 432.56

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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.