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Finding the Fourth Proportional to 600.08, 827.28 and 378.95

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Solution

The fourth proportional to 600.08, 827.28 and 378.95 is: 522.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.08 : 827.28 = 378.95 : x
  2. Step 2: Convert to fraction form
    600.08/827.28 = 378.95/x
  3. Step 3: Cross multiply
    600.08x = 827.28 × 378.95
  4. Step 4: Simplify right side
    600.08x = 313,493.62
  5. Step 5: Solve for x
    x = 313,493.62/600.08
  6. Step 6: Final answer
    x = 522.42

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1.5x scale

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.