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Finding the Fourth Proportional to 446.85, 668.44 and 405.13

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Solution

The fourth proportional to 446.85, 668.44 and 405.13 is: 606.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.85 : 668.44 = 405.13 : x
  2. Step 2: Convert to fraction form
    446.85/668.44 = 405.13/x
  3. Step 3: Cross multiply
    446.85x = 668.44 × 405.13
  4. Step 4: Simplify right side
    446.85x = 270,805.10
  5. Step 5: Solve for x
    x = 270,805.10/446.85
  6. Step 6: Final answer
    x = 606.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.