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Finding the Fourth Proportional to 775.84, 1,163.61 and 512.90

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Solution

The fourth proportional to 775.84, 1,163.61 and 512.90 is: 769.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.84 : 1,163.61 = 512.90 : x
  2. Step 2: Convert to fraction form
    775.84/1,163.61 = 512.90/x
  3. Step 3: Cross multiply
    775.84x = 1,163.61 × 512.90
  4. Step 4: Simplify right side
    775.84x = 596,815.57
  5. Step 5: Solve for x
    x = 596,815.57/775.84
  6. Step 6: Final answer
    x = 769.25

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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.