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Finding the Fourth Proportional to 450.56, 620.96 and 442.66

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Solution

The fourth proportional to 450.56, 620.96 and 442.66 is: 610.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.56 : 620.96 = 442.66 : x
  2. Step 2: Convert to fraction form
    450.56/620.96 = 442.66/x
  3. Step 3: Cross multiply
    450.56x = 620.96 × 442.66
  4. Step 4: Simplify right side
    450.56x = 274,874.15
  5. Step 5: Solve for x
    x = 274,874.15/450.56
  6. Step 6: Final answer
    x = 610.07

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Why These Related Problems?

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