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Finding the Fourth Proportional to 422.80, 580.36 and 375.13

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Solution

The fourth proportional to 422.80, 580.36 and 375.13 is: 514.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.80 : 580.36 = 375.13 : x
  2. Step 2: Convert to fraction form
    422.80/580.36 = 375.13/x
  3. Step 3: Cross multiply
    422.80x = 580.36 × 375.13
  4. Step 4: Simplify right side
    422.80x = 217,710.45
  5. Step 5: Solve for x
    x = 217,710.45/422.80
  6. Step 6: Final answer
    x = 514.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.