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Finding the Fourth Proportional to 605.88, 834.78 and 459

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Solution

The fourth proportional to 605.88, 834.78 and 459 is: 632.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.88 : 834.78 = 459 : x
  2. Step 2: Convert to fraction form
    605.88/834.78 = 459/x
  3. Step 3: Cross multiply
    605.88x = 834.78 × 459
  4. Step 4: Simplify right side
    605.88x = 383,164.02
  5. Step 5: Solve for x
    x = 383,164.02/605.88
  6. Step 6: Final answer
    x = 632.41

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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.