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Finding the Fourth Proportional to 423.33, 638.79 and 406.47

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Solution

The fourth proportional to 423.33, 638.79 and 406.47 is: 613.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.33 : 638.79 = 406.47 : x
  2. Step 2: Convert to fraction form
    423.33/638.79 = 406.47/x
  3. Step 3: Cross multiply
    423.33x = 638.79 × 406.47
  4. Step 4: Simplify right side
    423.33x = 259,648.97
  5. Step 5: Solve for x
    x = 259,648.97/423.33
  6. Step 6: Final answer
    x = 613.35

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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.