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Finding the Fourth Proportional to 1,172.69, 1,760.76 and 1,151.95

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Solution

The fourth proportional to 1,172.69, 1,760.76 and 1,151.95 is: 1,729.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.69 : 1,760.76 = 1,151.95 : x
  2. Step 2: Convert to fraction form
    1,172.69/1,760.76 = 1,151.95/x
  3. Step 3: Cross multiply
    1,172.69x = 1,760.76 × 1,151.95
  4. Step 4: Simplify right side
    1,172.69x = 2,028,298.68
  5. Step 5: Solve for x
    x = 2,028,298.68/1,172.69
  6. Step 6: Final answer
    x = 1,729.61

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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.