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Finding the Fourth Proportional to 450.23, 620.96 and 380.48

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Solution

The fourth proportional to 450.23, 620.96 and 380.48 is: 524.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.23 : 620.96 = 380.48 : x
  2. Step 2: Convert to fraction form
    450.23/620.96 = 380.48/x
  3. Step 3: Cross multiply
    450.23x = 620.96 × 380.48
  4. Step 4: Simplify right side
    450.23x = 236,257.85
  5. Step 5: Solve for x
    x = 236,257.85/450.23
  6. Step 6: Final answer
    x = 524.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.