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Finding the Fourth Proportional to 519.78, 778.17 and 483.29

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Solution

The fourth proportional to 519.78, 778.17 and 483.29 is: 723.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.78 : 778.17 = 483.29 : x
  2. Step 2: Convert to fraction form
    519.78/778.17 = 483.29/x
  3. Step 3: Cross multiply
    519.78x = 778.17 × 483.29
  4. Step 4: Simplify right side
    519.78x = 376,083.35
  5. Step 5: Solve for x
    x = 376,083.35/519.78
  6. Step 6: Final answer
    x = 723.54

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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.