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Finding the Fourth Proportional to 422.80, 630.80 and 376.60

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Solution

The fourth proportional to 422.80, 630.80 and 376.60 is: 561.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.80 : 630.80 = 376.60 : x
  2. Step 2: Convert to fraction form
    422.80/630.80 = 376.60/x
  3. Step 3: Cross multiply
    422.80x = 630.80 × 376.60
  4. Step 4: Simplify right side
    422.80x = 237,559.28
  5. Step 5: Solve for x
    x = 237,559.28/422.80
  6. Step 6: Final answer
    x = 561.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.