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Finding the Fourth Proportional to 578.67, 867.87 and 254.13

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Solution

The fourth proportional to 578.67, 867.87 and 254.13 is: 381.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.67 : 867.87 = 254.13 : x
  2. Step 2: Convert to fraction form
    578.67/867.87 = 254.13/x
  3. Step 3: Cross multiply
    578.67x = 867.87 × 254.13
  4. Step 4: Simplify right side
    578.67x = 220,551.80
  5. Step 5: Solve for x
    x = 220,551.80/578.67
  6. Step 6: Final answer
    x = 381.14

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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.