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Finding the Fourth Proportional to 599.79, 826.86 and 422.21

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Solution

The fourth proportional to 599.79, 826.86 and 422.21 is: 582.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.79 : 826.86 = 422.21 : x
  2. Step 2: Convert to fraction form
    599.79/826.86 = 422.21/x
  3. Step 3: Cross multiply
    599.79x = 826.86 × 422.21
  4. Step 4: Simplify right side
    599.79x = 349,112.21
  5. Step 5: Solve for x
    x = 349,112.21/599.79
  6. Step 6: Final answer
    x = 582.05

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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.