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Finding the Fourth Proportional to 446.70, 668.91 and 405.66

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Solution

The fourth proportional to 446.70, 668.91 and 405.66 is: 607.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.70 : 668.91 = 405.66 : x
  2. Step 2: Convert to fraction form
    446.70/668.91 = 405.66/x
  3. Step 3: Cross multiply
    446.70x = 668.91 × 405.66
  4. Step 4: Simplify right side
    446.70x = 271,350.03
  5. Step 5: Solve for x
    x = 271,350.03/446.70
  6. Step 6: Final answer
    x = 607.45

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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.