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Finding the Fourth Proportional to 583.33, 874.89 and 198.58

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Solution

The fourth proportional to 583.33, 874.89 and 198.58 is: 297.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.33 : 874.89 = 198.58 : x
  2. Step 2: Convert to fraction form
    583.33/874.89 = 198.58/x
  3. Step 3: Cross multiply
    583.33x = 874.89 × 198.58
  4. Step 4: Simplify right side
    583.33x = 173,735.66
  5. Step 5: Solve for x
    x = 173,735.66/583.33
  6. Step 6: Final answer
    x = 297.83

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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.