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Finding the Fourth Proportional to 775.26, 1,162.71 and 428.49

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Solution

The fourth proportional to 775.26, 1,162.71 and 428.49 is: 642.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.26 : 1,162.71 = 428.49 : x
  2. Step 2: Convert to fraction form
    775.26/1,162.71 = 428.49/x
  3. Step 3: Cross multiply
    775.26x = 1,162.71 × 428.49
  4. Step 4: Simplify right side
    775.26x = 498,209.61
  5. Step 5: Solve for x
    x = 498,209.61/775.26
  6. Step 6: Final answer
    x = 642.64

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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.