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Finding the Fourth Proportional to 823.73, 1,238.20 and 766.69

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Solution

The fourth proportional to 823.73, 1,238.20 and 766.69 is: 1,152.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.73 : 1,238.20 = 766.69 : x
  2. Step 2: Convert to fraction form
    823.73/1,238.20 = 766.69/x
  3. Step 3: Cross multiply
    823.73x = 1,238.20 × 766.69
  4. Step 4: Simplify right side
    823.73x = 949,310.55
  5. Step 5: Solve for x
    x = 949,310.55/823.73
  6. Step 6: Final answer
    x = 1,152.46

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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.