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Finding the Fourth Proportional to 605.46, 834.50 and 405.92

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Solution

The fourth proportional to 605.46, 834.50 and 405.92 is: 559.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.46 : 834.50 = 405.92 : x
  2. Step 2: Convert to fraction form
    605.46/834.50 = 405.92/x
  3. Step 3: Cross multiply
    605.46x = 834.50 × 405.92
  4. Step 4: Simplify right side
    605.46x = 338,740.24
  5. Step 5: Solve for x
    x = 338,740.24/605.46
  6. Step 6: Final answer
    x = 559.48

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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.