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Finding the Fourth Proportional to 578.34, 867.85 and 231.71

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Solution

The fourth proportional to 578.34, 867.85 and 231.71 is: 347.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.34 : 867.85 = 231.71 : x
  2. Step 2: Convert to fraction form
    578.34/867.85 = 231.71/x
  3. Step 3: Cross multiply
    578.34x = 867.85 × 231.71
  4. Step 4: Simplify right side
    578.34x = 201,084.60
  5. Step 5: Solve for x
    x = 201,084.60/578.34
  6. Step 6: Final answer
    x = 347.69

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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.