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Finding the Fourth Proportional to 600.24, 827.64 and 378.88

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Solution

The fourth proportional to 600.24, 827.64 and 378.88 is: 522.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.24 : 827.64 = 378.88 : x
  2. Step 2: Convert to fraction form
    600.24/827.64 = 378.88/x
  3. Step 3: Cross multiply
    600.24x = 827.64 × 378.88
  4. Step 4: Simplify right side
    600.24x = 313,576.24
  5. Step 5: Solve for x
    x = 313,576.24/600.24
  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.