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Finding the Fourth Proportional to 422.02, 630.08 and 397.45

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Solution

The fourth proportional to 422.02, 630.08 and 397.45 is: 593.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.02 : 630.08 = 397.45 : x
  2. Step 2: Convert to fraction form
    422.02/630.08 = 397.45/x
  3. Step 3: Cross multiply
    422.02x = 630.08 × 397.45
  4. Step 4: Simplify right side
    422.02x = 250,423.31
  5. Step 5: Solve for x
    x = 250,423.31/422.02
  6. Step 6: Final answer
    x = 593.39

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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.