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Finding the Fourth Proportional to 519.15, 774.23 and 442.61

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Solution

The fourth proportional to 519.15, 774.23 and 442.61 is: 660.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.15 : 774.23 = 442.61 : x
  2. Step 2: Convert to fraction form
    519.15/774.23 = 442.61/x
  3. Step 3: Cross multiply
    519.15x = 774.23 × 442.61
  4. Step 4: Simplify right side
    519.15x = 342,675.86
  5. Step 5: Solve for x
    x = 342,675.86/519.15
  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.