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Finding the Fourth Proportional to 519.21, 773.15 and 492.48

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Solution

The fourth proportional to 519.21, 773.15 and 492.48 is: 733.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.21 : 773.15 = 492.48 : x
  2. Step 2: Convert to fraction form
    519.21/773.15 = 492.48/x
  3. Step 3: Cross multiply
    519.21x = 773.15 × 492.48
  4. Step 4: Simplify right side
    519.21x = 380,758.45
  5. Step 5: Solve for x
    x = 380,758.45/519.21
  6. Step 6: Final answer
    x = 733.34

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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.