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Finding the Fourth Proportional to 451.15, 622.64 and 285.41

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Solution

The fourth proportional to 451.15, 622.64 and 285.41 is: 393.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.15 : 622.64 = 285.41 : x
  2. Step 2: Convert to fraction form
    451.15/622.64 = 285.41/x
  3. Step 3: Cross multiply
    451.15x = 622.64 × 285.41
  4. Step 4: Simplify right side
    451.15x = 177,709.95
  5. Step 5: Solve for x
    x = 177,709.95/451.15
  6. Step 6: Final answer
    x = 393.91

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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.