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Finding the Fourth Proportional to 775.97, 1,161.85 and 568.97

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Solution

The fourth proportional to 775.97, 1,161.85 and 568.97 is: 851.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.97 : 1,161.85 = 568.97 : x
  2. Step 2: Convert to fraction form
    775.97/1,161.85 = 568.97/x
  3. Step 3: Cross multiply
    775.97x = 1,161.85 × 568.97
  4. Step 4: Simplify right side
    775.97x = 661,057.79
  5. Step 5: Solve for x
    x = 661,057.79/775.97
  6. Step 6: Final answer
    x = 851.91

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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.