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Finding the Fourth Proportional to 519.78, 779.01 and 364.50

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Solution

The fourth proportional to 519.78, 779.01 and 364.50 is: 546.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.78 : 779.01 = 364.50 : x
  2. Step 2: Convert to fraction form
    519.78/779.01 = 364.50/x
  3. Step 3: Cross multiply
    519.78x = 779.01 × 364.50
  4. Step 4: Simplify right side
    519.78x = 283,949.15
  5. Step 5: Solve for x
    x = 283,949.15/519.78
  6. Step 6: Final answer
    x = 546.29

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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.