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Finding the Fourth Proportional to 450.65, 621.97 and 422.86

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Solution

The fourth proportional to 450.65, 621.97 and 422.86 is: 583.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.65 : 621.97 = 422.86 : x
  2. Step 2: Convert to fraction form
    450.65/621.97 = 422.86/x
  3. Step 3: Cross multiply
    450.65x = 621.97 × 422.86
  4. Step 4: Simplify right side
    450.65x = 263,003.62
  5. Step 5: Solve for x
    x = 263,003.62/450.65
  6. Step 6: Final answer
    x = 583.61

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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.