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Finding the Fourth Proportional to 855.73, 1,180.73 and 506.44

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Solution

The fourth proportional to 855.73, 1,180.73 and 506.44 is: 698.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.73 : 1,180.73 = 506.44 : x
  2. Step 2: Convert to fraction form
    855.73/1,180.73 = 506.44/x
  3. Step 3: Cross multiply
    855.73x = 1,180.73 × 506.44
  4. Step 4: Simplify right side
    855.73x = 597,963.00
  5. Step 5: Solve for x
    x = 597,963.00/855.73
  6. Step 6: Final answer
    x = 698.78

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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.