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Finding the Fourth Proportional to 605.70, 835.74 and 356.84

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Solution

The fourth proportional to 605.70, 835.74 and 356.84 is: 492.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.70 : 835.74 = 356.84 : x
  2. Step 2: Convert to fraction form
    605.70/835.74 = 356.84/x
  3. Step 3: Cross multiply
    605.70x = 835.74 × 356.84
  4. Step 4: Simplify right side
    605.70x = 298,225.46
  5. Step 5: Solve for x
    x = 298,225.46/605.70
  6. Step 6: Final answer
    x = 492.36

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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.