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Finding the Fourth Proportional to 650.26, 896.97 and 519.94

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Solution

The fourth proportional to 650.26, 896.97 and 519.94 is: 717.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.26 : 896.97 = 519.94 : x
  2. Step 2: Convert to fraction form
    650.26/896.97 = 519.94/x
  3. Step 3: Cross multiply
    650.26x = 896.97 × 519.94
  4. Step 4: Simplify right side
    650.26x = 466,370.58
  5. Step 5: Solve for x
    x = 466,370.58/650.26
  6. Step 6: Final answer
    x = 717.21

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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.