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Finding the Fourth Proportional to 605.69, 834.94 and 474.47

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Solution

The fourth proportional to 605.69, 834.94 and 474.47 is: 654.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.69 : 834.94 = 474.47 : x
  2. Step 2: Convert to fraction form
    605.69/834.94 = 474.47/x
  3. Step 3: Cross multiply
    605.69x = 834.94 × 474.47
  4. Step 4: Simplify right side
    605.69x = 396,153.98
  5. Step 5: Solve for x
    x = 396,153.98/605.69
  6. Step 6: Final answer
    x = 654.05

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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.