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Finding the Fourth Proportional to 550.29, 823.88 and 440.04

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Solution

The fourth proportional to 550.29, 823.88 and 440.04 is: 658.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.29 : 823.88 = 440.04 : x
  2. Step 2: Convert to fraction form
    550.29/823.88 = 440.04/x
  3. Step 3: Cross multiply
    550.29x = 823.88 × 440.04
  4. Step 4: Simplify right side
    550.29x = 362,537.96
  5. Step 5: Solve for x
    x = 362,537.96/550.29
  6. Step 6: Final answer
    x = 658.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.