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Finding the Fourth Proportional to 519.69, 717.21 and 298.71

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Solution

The fourth proportional to 519.69, 717.21 and 298.71 is: 412.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.69 : 717.21 = 298.71 : x
  2. Step 2: Convert to fraction form
    519.69/717.21 = 298.71/x
  3. Step 3: Cross multiply
    519.69x = 717.21 × 298.71
  4. Step 4: Simplify right side
    519.69x = 214,237.80
  5. Step 5: Solve for x
    x = 214,237.80/519.69
  6. Step 6: Final answer
    x = 412.24

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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.