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Finding the Fourth Proportional to 599.07, 826.62 and 378.14

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Solution

The fourth proportional to 599.07, 826.62 and 378.14 is: 521.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.07 : 826.62 = 378.14 : x
  2. Step 2: Convert to fraction form
    599.07/826.62 = 378.14/x
  3. Step 3: Cross multiply
    599.07x = 826.62 × 378.14
  4. Step 4: Simplify right side
    599.07x = 312,578.09
  5. Step 5: Solve for x
    x = 312,578.09/599.07
  6. Step 6: Final answer
    x = 521.77

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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.