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Finding the Fourth Proportional to 451.72, 622.96 and 285.65

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Solution

The fourth proportional to 451.72, 622.96 and 285.65 is: 393.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.72 : 622.96 = 285.65 : x
  2. Step 2: Convert to fraction form
    451.72/622.96 = 285.65/x
  3. Step 3: Cross multiply
    451.72x = 622.96 × 285.65
  4. Step 4: Simplify right side
    451.72x = 177,945.41
  5. Step 5: Solve for x
    x = 177,945.41/451.72
  6. Step 6: Final answer
    x = 393.93

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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.