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Finding the Fourth Proportional to 775.83, 1,156.26 and 769.37

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Solution

The fourth proportional to 775.83, 1,156.26 and 769.37 is: 1,146.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.83 : 1,156.26 = 769.37 : x
  2. Step 2: Convert to fraction form
    775.83/1,156.26 = 769.37/x
  3. Step 3: Cross multiply
    775.83x = 1,156.26 × 769.37
  4. Step 4: Simplify right side
    775.83x = 889,584.53
  5. Step 5: Solve for x
    x = 889,584.53/775.83
  6. Step 6: Final answer
    x = 1,146.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.