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Finding the Fourth Proportional to 559.80, 839.57 and 213.17

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Solution

The fourth proportional to 559.80, 839.57 and 213.17 is: 319.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.80 : 839.57 = 213.17 : x
  2. Step 2: Convert to fraction form
    559.80/839.57 = 213.17/x
  3. Step 3: Cross multiply
    559.80x = 839.57 × 213.17
  4. Step 4: Simplify right side
    559.80x = 178,971.14
  5. Step 5: Solve for x
    x = 178,971.14/559.80
  6. Step 6: Final answer
    x = 319.71

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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.