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Finding the Fourth Proportional to 519.82, 775.92 and 458.31

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Solution

The fourth proportional to 519.82, 775.92 and 458.31 is: 684.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.82 : 775.92 = 458.31 : x
  2. Step 2: Convert to fraction form
    519.82/775.92 = 458.31/x
  3. Step 3: Cross multiply
    519.82x = 775.92 × 458.31
  4. Step 4: Simplify right side
    519.82x = 355,611.90
  5. Step 5: Solve for x
    x = 355,611.90/519.82
  6. Step 6: Final answer
    x = 684.11

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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.