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Finding the Fourth Proportional to 578.36, 797.78 and 378.88

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Solution

The fourth proportional to 578.36, 797.78 and 378.88 is: 522.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.36 : 797.78 = 378.88 : x
  2. Step 2: Convert to fraction form
    578.36/797.78 = 378.88/x
  3. Step 3: Cross multiply
    578.36x = 797.78 × 378.88
  4. Step 4: Simplify right side
    578.36x = 302,262.89
  5. Step 5: Solve for x
    x = 302,262.89/578.36
  6. Step 6: Final answer
    x = 522.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.