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Finding the Fourth Proportional to 519.92, 778.66 and 410.97

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Solution

The fourth proportional to 519.92, 778.66 and 410.97 is: 615.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.92 : 778.66 = 410.97 : x
  2. Step 2: Convert to fraction form
    519.92/778.66 = 410.97/x
  3. Step 3: Cross multiply
    519.92x = 778.66 × 410.97
  4. Step 4: Simplify right side
    519.92x = 320,003.85
  5. Step 5: Solve for x
    x = 320,003.85/519.92
  6. Step 6: Final answer
    x = 615.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.