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Finding the Fourth Proportional to 550.46, 829.38 and 455.09

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Solution

The fourth proportional to 550.46, 829.38 and 455.09 is: 685.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.46 : 829.38 = 455.09 : x
  2. Step 2: Convert to fraction form
    550.46/829.38 = 455.09/x
  3. Step 3: Cross multiply
    550.46x = 829.38 × 455.09
  4. Step 4: Simplify right side
    550.46x = 377,438.40
  5. Step 5: Solve for x
    x = 377,438.40/550.46
  6. Step 6: Final answer
    x = 685.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.