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Finding the Fourth Proportional to 772.82, 1,065.89 and 506.97

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Solution

The fourth proportional to 772.82, 1,065.89 and 506.97 is: 699.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.82 : 1,065.89 = 506.97 : x
  2. Step 2: Convert to fraction form
    772.82/1,065.89 = 506.97/x
  3. Step 3: Cross multiply
    772.82x = 1,065.89 × 506.97
  4. Step 4: Simplify right side
    772.82x = 540,375.52
  5. Step 5: Solve for x
    x = 540,375.52/772.82
  6. Step 6: Final answer
    x = 699.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.