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Finding the Fourth Proportional to 605.74, 835.97 and 343.75

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Solution

The fourth proportional to 605.74, 835.97 and 343.75 is: 474.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.74 : 835.97 = 343.75 : x
  2. Step 2: Convert to fraction form
    605.74/835.97 = 343.75/x
  3. Step 3: Cross multiply
    605.74x = 835.97 × 343.75
  4. Step 4: Simplify right side
    605.74x = 287,364.69
  5. Step 5: Solve for x
    x = 287,364.69/605.74
  6. Step 6: Final answer
    x = 474.40

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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.