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Finding the Fourth Proportional to 426.42, 634.79 and 406.54

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Solution

The fourth proportional to 426.42, 634.79 and 406.54 is: 605.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.42 : 634.79 = 406.54 : x
  2. Step 2: Convert to fraction form
    426.42/634.79 = 406.54/x
  3. Step 3: Cross multiply
    426.42x = 634.79 × 406.54
  4. Step 4: Simplify right side
    426.42x = 258,065.49
  5. Step 5: Solve for x
    x = 258,065.49/426.42
  6. Step 6: Final answer
    x = 605.19

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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.