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Finding the Fourth Proportional to 450.22, 674.16 and 385.63

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Solution

The fourth proportional to 450.22, 674.16 and 385.63 is: 577.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.22 : 674.16 = 385.63 : x
  2. Step 2: Convert to fraction form
    450.22/674.16 = 385.63/x
  3. Step 3: Cross multiply
    450.22x = 674.16 × 385.63
  4. Step 4: Simplify right side
    450.22x = 259,976.98
  5. Step 5: Solve for x
    x = 259,976.98/450.22
  6. Step 6: Final answer
    x = 577.45

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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.