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Finding the Fourth Proportional to 519.97, 717.62 and 295.96

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Solution

The fourth proportional to 519.97, 717.62 and 295.96 is: 408.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.97 : 717.62 = 295.96 : x
  2. Step 2: Convert to fraction form
    519.97/717.62 = 295.96/x
  3. Step 3: Cross multiply
    519.97x = 717.62 × 295.96
  4. Step 4: Simplify right side
    519.97x = 212,386.82
  5. Step 5: Solve for x
    x = 212,386.82/519.97
  6. Step 6: Final answer
    x = 408.46

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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.