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Finding the Fourth Proportional to 852.23, 1,272.12 and 731.27

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Solution

The fourth proportional to 852.23, 1,272.12 and 731.27 is: 1,091.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.23 : 1,272.12 = 731.27 : x
  2. Step 2: Convert to fraction form
    852.23/1,272.12 = 731.27/x
  3. Step 3: Cross multiply
    852.23x = 1,272.12 × 731.27
  4. Step 4: Simplify right side
    852.23x = 930,263.19
  5. Step 5: Solve for x
    x = 930,263.19/852.23
  6. Step 6: Final answer
    x = 1,091.56

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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.