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Finding the Fourth Proportional to 584.73, 872.16 and 550.89

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Solution

The fourth proportional to 584.73, 872.16 and 550.89 is: 821.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.73 : 872.16 = 550.89 : x
  2. Step 2: Convert to fraction form
    584.73/872.16 = 550.89/x
  3. Step 3: Cross multiply
    584.73x = 872.16 × 550.89
  4. Step 4: Simplify right side
    584.73x = 480,464.22
  5. Step 5: Solve for x
    x = 480,464.22/584.73
  6. Step 6: Final answer
    x = 821.69

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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.