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Finding the Fourth Proportional to 459.54, 634.62 and 426.78

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Solution

The fourth proportional to 459.54, 634.62 and 426.78 is: 589.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.54 : 634.62 = 426.78 : x
  2. Step 2: Convert to fraction form
    459.54/634.62 = 426.78/x
  3. Step 3: Cross multiply
    459.54x = 634.62 × 426.78
  4. Step 4: Simplify right side
    459.54x = 270,843.12
  5. Step 5: Solve for x
    x = 270,843.12/459.54
  6. Step 6: Final answer
    x = 589.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.