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Finding the Fourth Proportional to 451.46, 622.17 and 427.54

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Solution

The fourth proportional to 451.46, 622.17 and 427.54 is: 589.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.46 : 622.17 = 427.54 : x
  2. Step 2: Convert to fraction form
    451.46/622.17 = 427.54/x
  3. Step 3: Cross multiply
    451.46x = 622.17 × 427.54
  4. Step 4: Simplify right side
    451.46x = 266,002.56
  5. Step 5: Solve for x
    x = 266,002.56/451.46
  6. Step 6: Final answer
    x = 589.21

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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.