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Finding the Fourth Proportional to 522.97, 721.70 and 286.91

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Solution

The fourth proportional to 522.97, 721.70 and 286.91 is: 395.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.97 : 721.70 = 286.91 : x
  2. Step 2: Convert to fraction form
    522.97/721.70 = 286.91/x
  3. Step 3: Cross multiply
    522.97x = 721.70 × 286.91
  4. Step 4: Simplify right side
    522.97x = 207,062.95
  5. Step 5: Solve for x
    x = 207,062.95/522.97
  6. Step 6: Final answer
    x = 395.94

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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.