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Finding the Fourth Proportional to 429.94, 640.80 and 426.54

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Solution

The fourth proportional to 429.94, 640.80 and 426.54 is: 635.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.94 : 640.80 = 426.54 : x
  2. Step 2: Convert to fraction form
    429.94/640.80 = 426.54/x
  3. Step 3: Cross multiply
    429.94x = 640.80 × 426.54
  4. Step 4: Simplify right side
    429.94x = 273,324.70
  5. Step 5: Solve for x
    x = 273,324.70/429.94
  6. Step 6: Final answer
    x = 635.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.