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Finding the Fourth Proportional to 775.28, 1,161.30 and 684.20

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Solution

The fourth proportional to 775.28, 1,161.30 and 684.20 is: 1,024.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.28 : 1,161.30 = 684.20 : x
  2. Step 2: Convert to fraction form
    775.28/1,161.30 = 684.20/x
  3. Step 3: Cross multiply
    775.28x = 1,161.30 × 684.20
  4. Step 4: Simplify right side
    775.28x = 794,561.46
  5. Step 5: Solve for x
    x = 794,561.46/775.28
  6. Step 6: Final answer
    x = 1,024.87

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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.