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Finding the Fourth Proportional to 550.20, 822.34 and 480.24

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Solution

The fourth proportional to 550.20, 822.34 and 480.24 is: 717.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.20 : 822.34 = 480.24 : x
  2. Step 2: Convert to fraction form
    550.20/822.34 = 480.24/x
  3. Step 3: Cross multiply
    550.20x = 822.34 × 480.24
  4. Step 4: Simplify right side
    550.20x = 394,921.16
  5. Step 5: Solve for x
    x = 394,921.16/550.20
  6. Step 6: Final answer
    x = 717.77

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1.5x scale

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.