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Finding the Fourth Proportional to 872.25, 1,203.71 and 523.14

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Solution

The fourth proportional to 872.25, 1,203.71 and 523.14 is: 721.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.25 : 1,203.71 = 523.14 : x
  2. Step 2: Convert to fraction form
    872.25/1,203.71 = 523.14/x
  3. Step 3: Cross multiply
    872.25x = 1,203.71 × 523.14
  4. Step 4: Simplify right side
    872.25x = 629,706.23
  5. Step 5: Solve for x
    x = 629,706.23/872.25
  6. Step 6: Final answer
    x = 721.93

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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.