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Finding the Fourth Proportional to 580.14, 800 and 422.80

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Solution

The fourth proportional to 580.14, 800 and 422.80 is: 583.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.14 : 800 = 422.80 : x
  2. Step 2: Convert to fraction form
    580.14/800 = 422.80/x
  3. Step 3: Cross multiply
    580.14x = 800 × 422.80
  4. Step 4: Simplify right side
    580.14x = 338,240
  5. Step 5: Solve for x
    x = 338,240/580.14
  6. Step 6: Final answer
    x = 583.03

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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.