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Finding the Fourth Proportional to 865.80, 1,192.26 and 733.21

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Solution

The fourth proportional to 865.80, 1,192.26 and 733.21 is: 1,009.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.80 : 1,192.26 = 733.21 : x
  2. Step 2: Convert to fraction form
    865.80/1,192.26 = 733.21/x
  3. Step 3: Cross multiply
    865.80x = 1,192.26 × 733.21
  4. Step 4: Simplify right side
    865.80x = 874,179.95
  5. Step 5: Solve for x
    x = 874,179.95/865.80
  6. Step 6: Final answer
    x = 1,009.68

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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.