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Finding the Fourth Proportional to 796.73, 1,186.88 and 772.55

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Solution

The fourth proportional to 796.73, 1,186.88 and 772.55 is: 1,150.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.73 : 1,186.88 = 772.55 : x
  2. Step 2: Convert to fraction form
    796.73/1,186.88 = 772.55/x
  3. Step 3: Cross multiply
    796.73x = 1,186.88 × 772.55
  4. Step 4: Simplify right side
    796.73x = 916,929.04
  5. Step 5: Solve for x
    x = 916,929.04/796.73
  6. Step 6: Final answer
    x = 1,150.86

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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.