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Finding the Fourth Proportional to 450.73, 674.96 and 285.70

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Solution

The fourth proportional to 450.73, 674.96 and 285.70 is: 427.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.73 : 674.96 = 285.70 : x
  2. Step 2: Convert to fraction form
    450.73/674.96 = 285.70/x
  3. Step 3: Cross multiply
    450.73x = 674.96 × 285.70
  4. Step 4: Simplify right side
    450.73x = 192,832.70
  5. Step 5: Solve for x
    x = 192,832.70/450.73
  6. Step 6: Final answer
    x = 427.83

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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.