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Finding the Fourth Proportional to 613, 845.46 and 426.48

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Solution

The fourth proportional to 613, 845.46 and 426.48 is: 588.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    613 : 845.46 = 426.48 : x
  2. Step 2: Convert to fraction form
    613/845.46 = 426.48/x
  3. Step 3: Cross multiply
    613x = 845.46 × 426.48
  4. Step 4: Simplify right side
    613x = 360,571.78
  5. Step 5: Solve for x
    x = 360,571.78/613
  6. Step 6: Final answer
    x = 588.21

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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.