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Finding the Fourth Proportional to 519.63, 717.14 and 298.56

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Solution

The fourth proportional to 519.63, 717.14 and 298.56 is: 412.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.63 : 717.14 = 298.56 : x
  2. Step 2: Convert to fraction form
    519.63/717.14 = 298.56/x
  3. Step 3: Cross multiply
    519.63x = 717.14 × 298.56
  4. Step 4: Simplify right side
    519.63x = 214,109.32
  5. Step 5: Solve for x
    x = 214,109.32/519.63
  6. Step 6: Final answer
    x = 412.04

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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.