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Finding the Fourth Proportional to 519.86, 717.45 and 298.88

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Solution

The fourth proportional to 519.86, 717.45 and 298.88 is: 412.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.86 : 717.45 = 298.88 : x
  2. Step 2: Convert to fraction form
    519.86/717.45 = 298.88/x
  3. Step 3: Cross multiply
    519.86x = 717.45 × 298.88
  4. Step 4: Simplify right side
    519.86x = 214,431.46
  5. Step 5: Solve for x
    x = 214,431.46/519.86
  6. Step 6: Final answer
    x = 412.48

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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.