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Finding the Fourth Proportional to 422.73, 630.09 and 389.24

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Solution

The fourth proportional to 422.73, 630.09 and 389.24 is: 580.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.73 : 630.09 = 389.24 : x
  2. Step 2: Convert to fraction form
    422.73/630.09 = 389.24/x
  3. Step 3: Cross multiply
    422.73x = 630.09 × 389.24
  4. Step 4: Simplify right side
    422.73x = 245,253.08
  5. Step 5: Solve for x
    x = 245,253.08/422.73
  6. Step 6: Final answer
    x = 580.16

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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.