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Finding the Fourth Proportional to 519.18, 774.24 and 442.62

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Solution

The fourth proportional to 519.18, 774.24 and 442.62 is: 660.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.18 : 774.24 = 442.62 : x
  2. Step 2: Convert to fraction form
    519.18/774.24 = 442.62/x
  3. Step 3: Cross multiply
    519.18x = 774.24 × 442.62
  4. Step 4: Simplify right side
    519.18x = 342,694.11
  5. Step 5: Solve for x
    x = 342,694.11/519.18
  6. Step 6: Final answer
    x = 660.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.