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Finding the Fourth Proportional to 599.49, 827.22 and 378.39

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Solution

The fourth proportional to 599.49, 827.22 and 378.39 is: 522.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.49 : 827.22 = 378.39 : x
  2. Step 2: Convert to fraction form
    599.49/827.22 = 378.39/x
  3. Step 3: Cross multiply
    599.49x = 827.22 × 378.39
  4. Step 4: Simplify right side
    599.49x = 313,011.78
  5. Step 5: Solve for x
    x = 313,011.78/599.49
  6. Step 6: Final answer
    x = 522.13

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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.