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Finding the Fourth Proportional to 550.72, 820.76 and 519.12

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Solution

The fourth proportional to 550.72, 820.76 and 519.12 is: 773.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.72 : 820.76 = 519.12 : x
  2. Step 2: Convert to fraction form
    550.72/820.76 = 519.12/x
  3. Step 3: Cross multiply
    550.72x = 820.76 × 519.12
  4. Step 4: Simplify right side
    550.72x = 426,072.93
  5. Step 5: Solve for x
    x = 426,072.93/550.72
  6. Step 6: Final answer
    x = 773.67

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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.