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Finding the Fourth Proportional to 550.90, 822.52 and 482.86

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Solution

The fourth proportional to 550.90, 822.52 and 482.86 is: 720.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.90 : 822.52 = 482.86 : x
  2. Step 2: Convert to fraction form
    550.90/822.52 = 482.86/x
  3. Step 3: Cross multiply
    550.90x = 822.52 × 482.86
  4. Step 4: Simplify right side
    550.90x = 397,162.01
  5. Step 5: Solve for x
    x = 397,162.01/550.90
  6. Step 6: Final answer
    x = 720.93

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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.