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Finding the Fourth Proportional to 522.82, 721.43 and 312.97

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Solution

The fourth proportional to 522.82, 721.43 and 312.97 is: 431.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.82 : 721.43 = 312.97 : x
  2. Step 2: Convert to fraction form
    522.82/721.43 = 312.97/x
  3. Step 3: Cross multiply
    522.82x = 721.43 × 312.97
  4. Step 4: Simplify right side
    522.82x = 225,785.95
  5. Step 5: Solve for x
    x = 225,785.95/522.82
  6. Step 6: Final answer
    x = 431.86

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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.