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Finding the Fourth Proportional to 522.64, 721.22 and 286.59

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Solution

The fourth proportional to 522.64, 721.22 and 286.59 is: 395.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.64 : 721.22 = 286.59 : x
  2. Step 2: Convert to fraction form
    522.64/721.22 = 286.59/x
  3. Step 3: Cross multiply
    522.64x = 721.22 × 286.59
  4. Step 4: Simplify right side
    522.64x = 206,694.44
  5. Step 5: Solve for x
    x = 206,694.44/522.64
  6. Step 6: Final answer
    x = 395.48

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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.