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Finding the Fourth Proportional to 775.89, 1,163.48 and 288.81

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Solution

The fourth proportional to 775.89, 1,163.48 and 288.81 is: 433.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.89 : 1,163.48 = 288.81 : x
  2. Step 2: Convert to fraction form
    775.89/1,163.48 = 288.81/x
  3. Step 3: Cross multiply
    775.89x = 1,163.48 × 288.81
  4. Step 4: Simplify right side
    775.89x = 336,023.21
  5. Step 5: Solve for x
    x = 336,023.21/775.89
  6. Step 6: Final answer
    x = 433.08

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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.