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Finding the Fourth Proportional to 519.33, 778.08 and 462.83

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Solution

The fourth proportional to 519.33, 778.08 and 462.83 is: 693.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.33 : 778.08 = 462.83 : x
  2. Step 2: Convert to fraction form
    519.33/778.08 = 462.83/x
  3. Step 3: Cross multiply
    519.33x = 778.08 × 462.83
  4. Step 4: Simplify right side
    519.33x = 360,120.71
  5. Step 5: Solve for x
    x = 360,120.71/519.33
  6. Step 6: Final answer
    x = 693.43

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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.