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Finding the Fourth Proportional to 550.32, 762.99 and 517.20

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Solution

The fourth proportional to 550.32, 762.99 and 517.20 is: 717.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.32 : 762.99 = 517.20 : x
  2. Step 2: Convert to fraction form
    550.32/762.99 = 517.20/x
  3. Step 3: Cross multiply
    550.32x = 762.99 × 517.20
  4. Step 4: Simplify right side
    550.32x = 394,618.43
  5. Step 5: Solve for x
    x = 394,618.43/550.32
  6. Step 6: Final answer
    x = 717.07

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.