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Finding the Fourth Proportional to 450.72, 620.73 and 345.42

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Solution

The fourth proportional to 450.72, 620.73 and 345.42 is: 475.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.72 : 620.73 = 345.42 : x
  2. Step 2: Convert to fraction form
    450.72/620.73 = 345.42/x
  3. Step 3: Cross multiply
    450.72x = 620.73 × 345.42
  4. Step 4: Simplify right side
    450.72x = 214,412.56
  5. Step 5: Solve for x
    x = 214,412.56/450.72
  6. Step 6: Final answer
    x = 475.71

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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.