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Finding the Fourth Proportional to 852.54, 1,272.59 and 731.58

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Solution

The fourth proportional to 852.54, 1,272.59 and 731.58 is: 1,092.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.54 : 1,272.59 = 731.58 : x
  2. Step 2: Convert to fraction form
    852.54/1,272.59 = 731.58/x
  3. Step 3: Cross multiply
    852.54x = 1,272.59 × 731.58
  4. Step 4: Simplify right side
    852.54x = 930,997.73
  5. Step 5: Solve for x
    x = 930,997.73/852.54
  6. Step 6: Final answer
    x = 1,092.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.