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Finding the Fourth Proportional to 521.91, 717.26 and 428.49

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Solution

The fourth proportional to 521.91, 717.26 and 428.49 is: 588.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.91 : 717.26 = 428.49 : x
  2. Step 2: Convert to fraction form
    521.91/717.26 = 428.49/x
  3. Step 3: Cross multiply
    521.91x = 717.26 × 428.49
  4. Step 4: Simplify right side
    521.91x = 307,336.59
  5. Step 5: Solve for x
    x = 307,336.59/521.91
  6. Step 6: Final answer
    x = 588.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.