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Finding the Fourth Proportional to 578.71, 867.81 and 231.97

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Solution

The fourth proportional to 578.71, 867.81 and 231.97 is: 347.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.71 : 867.81 = 231.97 : x
  2. Step 2: Convert to fraction form
    578.71/867.81 = 231.97/x
  3. Step 3: Cross multiply
    578.71x = 867.81 × 231.97
  4. Step 4: Simplify right side
    578.71x = 201,305.89
  5. Step 5: Solve for x
    x = 201,305.89/578.71
  6. Step 6: Final answer
    x = 347.85

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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.