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Finding the Fourth Proportional to 579.72, 801.08 and 422.83

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Solution

The fourth proportional to 579.72, 801.08 and 422.83 is: 584.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.72 : 801.08 = 422.83 : x
  2. Step 2: Convert to fraction form
    579.72/801.08 = 422.83/x
  3. Step 3: Cross multiply
    579.72x = 801.08 × 422.83
  4. Step 4: Simplify right side
    579.72x = 338,720.66
  5. Step 5: Solve for x
    x = 338,720.66/579.72
  6. Step 6: Final answer
    x = 584.28

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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.