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Finding the Fourth Proportional to 584.33, 874.41 and 419.96

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Solution

The fourth proportional to 584.33, 874.41 and 419.96 is: 628.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.33 : 874.41 = 419.96 : x
  2. Step 2: Convert to fraction form
    584.33/874.41 = 419.96/x
  3. Step 3: Cross multiply
    584.33x = 874.41 × 419.96
  4. Step 4: Simplify right side
    584.33x = 367,212.85
  5. Step 5: Solve for x
    x = 367,212.85/584.33
  6. Step 6: Final answer
    x = 628.44

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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.