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Finding the Fourth Proportional to 578.94, 868.53 and 254.58

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Solution

The fourth proportional to 578.94, 868.53 and 254.58 is: 381.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.94 : 868.53 = 254.58 : x
  2. Step 2: Convert to fraction form
    578.94/868.53 = 254.58/x
  3. Step 3: Cross multiply
    578.94x = 868.53 × 254.58
  4. Step 4: Simplify right side
    578.94x = 221,110.37
  5. Step 5: Solve for x
    x = 221,110.37/578.94
  6. Step 6: Final answer
    x = 381.92

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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.