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Finding the Fourth Proportional to 482.30, 724.80 and 422.90

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Solution

The fourth proportional to 482.30, 724.80 and 422.90 is: 635.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.30 : 724.80 = 422.90 : x
  2. Step 2: Convert to fraction form
    482.30/724.80 = 422.90/x
  3. Step 3: Cross multiply
    482.30x = 724.80 × 422.90
  4. Step 4: Simplify right side
    482.30x = 306,517.92
  5. Step 5: Solve for x
    x = 306,517.92/482.30
  6. Step 6: Final answer
    x = 635.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.