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Finding the Fourth Proportional to 605.95, 836.43 and 357.38

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Solution

The fourth proportional to 605.95, 836.43 and 357.38 is: 493.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.95 : 836.43 = 357.38 : x
  2. Step 2: Convert to fraction form
    605.95/836.43 = 357.38/x
  3. Step 3: Cross multiply
    605.95x = 836.43 × 357.38
  4. Step 4: Simplify right side
    605.95x = 298,920.97
  5. Step 5: Solve for x
    x = 298,920.97/605.95
  6. Step 6: Final answer
    x = 493.31

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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.