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Finding the Fourth Proportional to 451.82, 623.26 and 285.97

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Solution

The fourth proportional to 451.82, 623.26 and 285.97 is: 394.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.82 : 623.26 = 285.97 : x
  2. Step 2: Convert to fraction form
    451.82/623.26 = 285.97/x
  3. Step 3: Cross multiply
    451.82x = 623.26 × 285.97
  4. Step 4: Simplify right side
    451.82x = 178,233.66
  5. Step 5: Solve for x
    x = 178,233.66/451.82
  6. Step 6: Final answer
    x = 394.48

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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.