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Finding the Fourth Proportional to 578.71, 867.19 and 231.70

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Solution

The fourth proportional to 578.71, 867.19 and 231.70 is: 347.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.71 : 867.19 = 231.70 : x
  2. Step 2: Convert to fraction form
    578.71/867.19 = 231.70/x
  3. Step 3: Cross multiply
    578.71x = 867.19 × 231.70
  4. Step 4: Simplify right side
    578.71x = 200,927.92
  5. Step 5: Solve for x
    x = 200,927.92/578.71
  6. Step 6: Final answer
    x = 347.20

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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.