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Finding the Fourth Proportional to 605.05, 834.86 and 356.38

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Solution

The fourth proportional to 605.05, 834.86 and 356.38 is: 491.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.05 : 834.86 = 356.38 : x
  2. Step 2: Convert to fraction form
    605.05/834.86 = 356.38/x
  3. Step 3: Cross multiply
    605.05x = 834.86 × 356.38
  4. Step 4: Simplify right side
    605.05x = 297,526.21
  5. Step 5: Solve for x
    x = 297,526.21/605.05
  6. Step 6: Final answer
    x = 491.74

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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.