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Finding the Fourth Proportional to 583.33, 874.85 and 213.07

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Solution

The fourth proportional to 583.33, 874.85 and 213.07 is: 319.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.33 : 874.85 = 213.07 : x
  2. Step 2: Convert to fraction form
    583.33/874.85 = 213.07/x
  3. Step 3: Cross multiply
    583.33x = 874.85 × 213.07
  4. Step 4: Simplify right side
    583.33x = 186,404.29
  5. Step 5: Solve for x
    x = 186,404.29/583.33
  6. Step 6: Final answer
    x = 319.55

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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.