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Finding the Fourth Proportional to 767.06, 1,151.79 and 680.66

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Solution

The fourth proportional to 767.06, 1,151.79 and 680.66 is: 1,022.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.06 : 1,151.79 = 680.66 : x
  2. Step 2: Convert to fraction form
    767.06/1,151.79 = 680.66/x
  3. Step 3: Cross multiply
    767.06x = 1,151.79 × 680.66
  4. Step 4: Simplify right side
    767.06x = 783,977.38
  5. Step 5: Solve for x
    x = 783,977.38/767.06
  6. Step 6: Final answer
    x = 1,022.05

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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.