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Finding the Fourth Proportional to 605.78, 835.99 and 357.31

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Solution

The fourth proportional to 605.78, 835.99 and 357.31 is: 493.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.78 : 835.99 = 357.31 : x
  2. Step 2: Convert to fraction form
    605.78/835.99 = 357.31/x
  3. Step 3: Cross multiply
    605.78x = 835.99 × 357.31
  4. Step 4: Simplify right side
    605.78x = 298,707.74
  5. Step 5: Solve for x
    x = 298,707.74/605.78
  6. Step 6: Final answer
    x = 493.10

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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.