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Finding the Fourth Proportional to 584.48, 871.78 and 550.64

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Solution

The fourth proportional to 584.48, 871.78 and 550.64 is: 821.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.48 : 871.78 = 550.64 : x
  2. Step 2: Convert to fraction form
    584.48/871.78 = 550.64/x
  3. Step 3: Cross multiply
    584.48x = 871.78 × 550.64
  4. Step 4: Simplify right side
    584.48x = 480,036.94
  5. Step 5: Solve for x
    x = 480,036.94/584.48
  6. Step 6: Final answer
    x = 821.31

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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.