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Finding the Fourth Proportional to 580.26, 800.24 and 422.94

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Solution

The fourth proportional to 580.26, 800.24 and 422.94 is: 583.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.26 : 800.24 = 422.94 : x
  2. Step 2: Convert to fraction form
    580.26/800.24 = 422.94/x
  3. Step 3: Cross multiply
    580.26x = 800.24 × 422.94
  4. Step 4: Simplify right side
    580.26x = 338,453.51
  5. Step 5: Solve for x
    x = 338,453.51/580.26
  6. Step 6: Final answer
    x = 583.28

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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.