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Finding the Fourth Proportional to 488.24, 732.42 and 422.72

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Solution

The fourth proportional to 488.24, 732.42 and 422.72 is: 634.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.24 : 732.42 = 422.72 : x
  2. Step 2: Convert to fraction form
    488.24/732.42 = 422.72/x
  3. Step 3: Cross multiply
    488.24x = 732.42 × 422.72
  4. Step 4: Simplify right side
    488.24x = 309,608.58
  5. Step 5: Solve for x
    x = 309,608.58/488.24
  6. Step 6: Final answer
    x = 634.13

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