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Finding the Fourth Proportional to 599.33, 826.67 and 378.09

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Solution

The fourth proportional to 599.33, 826.67 and 378.09 is: 521.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.33 : 826.67 = 378.09 : x
  2. Step 2: Convert to fraction form
    599.33/826.67 = 378.09/x
  3. Step 3: Cross multiply
    599.33x = 826.67 × 378.09
  4. Step 4: Simplify right side
    599.33x = 312,553.77
  5. Step 5: Solve for x
    x = 312,553.77/599.33
  6. Step 6: Final answer
    x = 521.51

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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.