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Finding the Fourth Proportional to 519.70, 778.20 and 410.80

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Solution

The fourth proportional to 519.70, 778.20 and 410.80 is: 615.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.70 : 778.20 = 410.80 : x
  2. Step 2: Convert to fraction form
    519.70/778.20 = 410.80/x
  3. Step 3: Cross multiply
    519.70x = 778.20 × 410.80
  4. Step 4: Simplify right side
    519.70x = 319,684.56
  5. Step 5: Solve for x
    x = 319,684.56/519.70
  6. Step 6: Final answer
    x = 615.13

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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.