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Finding the Fourth Proportional to 423.14, 633.72 and 408.54

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Solution

The fourth proportional to 423.14, 633.72 and 408.54 is: 611.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.14 : 633.72 = 408.54 : x
  2. Step 2: Convert to fraction form
    423.14/633.72 = 408.54/x
  3. Step 3: Cross multiply
    423.14x = 633.72 × 408.54
  4. Step 4: Simplify right side
    423.14x = 258,899.97
  5. Step 5: Solve for x
    x = 258,899.97/423.14
  6. Step 6: Final answer
    x = 611.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.