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Finding the Fourth Proportional to 519.44, 716.58 and 408.74

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Solution

The fourth proportional to 519.44, 716.58 and 408.74 is: 563.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.44 : 716.58 = 408.74 : x
  2. Step 2: Convert to fraction form
    519.44/716.58 = 408.74/x
  3. Step 3: Cross multiply
    519.44x = 716.58 × 408.74
  4. Step 4: Simplify right side
    519.44x = 292,891.33
  5. Step 5: Solve for x
    x = 292,891.33/519.44
  6. Step 6: Final answer
    x = 563.87

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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.