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Finding the Fourth Proportional to 580.36, 799.74 and 422.72

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Solution

The fourth proportional to 580.36, 799.74 and 422.72 is: 582.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.36 : 799.74 = 422.72 : x
  2. Step 2: Convert to fraction form
    580.36/799.74 = 422.72/x
  3. Step 3: Cross multiply
    580.36x = 799.74 × 422.72
  4. Step 4: Simplify right side
    580.36x = 338,066.09
  5. Step 5: Solve for x
    x = 338,066.09/580.36
  6. Step 6: Final answer
    x = 582.51

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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.