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Finding the Fourth Proportional to 454.41, 685.08 and 423.09

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Solution

The fourth proportional to 454.41, 685.08 and 423.09 is: 637.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.41 : 685.08 = 423.09 : x
  2. Step 2: Convert to fraction form
    454.41/685.08 = 423.09/x
  3. Step 3: Cross multiply
    454.41x = 685.08 × 423.09
  4. Step 4: Simplify right side
    454.41x = 289,850.50
  5. Step 5: Solve for x
    x = 289,850.50/454.41
  6. Step 6: Final answer
    x = 637.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.