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Finding the Fourth Proportional to 578.69, 867.46 and 270.34

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Solution

The fourth proportional to 578.69, 867.46 and 270.34 is: 405.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.69 : 867.46 = 270.34 : x
  2. Step 2: Convert to fraction form
    578.69/867.46 = 270.34/x
  3. Step 3: Cross multiply
    578.69x = 867.46 × 270.34
  4. Step 4: Simplify right side
    578.69x = 234,506.80
  5. Step 5: Solve for x
    x = 234,506.80/578.69
  6. Step 6: Final answer
    x = 405.23

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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.