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Finding the Fourth Proportional to 872, 1,203.41 and 522.71

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Solution

The fourth proportional to 872, 1,203.41 and 522.71 is: 721.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    872 : 1,203.41 = 522.71 : x
  2. Step 2: Convert to fraction form
    872/1,203.41 = 522.71/x
  3. Step 3: Cross multiply
    872x = 1,203.41 × 522.71
  4. Step 4: Simplify right side
    872x = 629,031.83
  5. Step 5: Solve for x
    x = 629,031.83/872
  6. Step 6: Final answer
    x = 721.37

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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.