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Finding the Fourth Proportional to 519.07, 778.60 and 493.11

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Solution

The fourth proportional to 519.07, 778.60 and 493.11 is: 739.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.07 : 778.60 = 493.11 : x
  2. Step 2: Convert to fraction form
    519.07/778.60 = 493.11/x
  3. Step 3: Cross multiply
    519.07x = 778.60 × 493.11
  4. Step 4: Simplify right side
    519.07x = 383,932.98
  5. Step 5: Solve for x
    x = 383,932.98/519.07
  6. Step 6: Final answer
    x = 739.66

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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.