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Finding the Fourth Proportional to 446.62, 666.66 and 412.60

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Solution

The fourth proportional to 446.62, 666.66 and 412.60 is: 615.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.62 : 666.66 = 412.60 : x
  2. Step 2: Convert to fraction form
    446.62/666.66 = 412.60/x
  3. Step 3: Cross multiply
    446.62x = 666.66 × 412.60
  4. Step 4: Simplify right side
    446.62x = 275,063.92
  5. Step 5: Solve for x
    x = 275,063.92/446.62
  6. Step 6: Final answer
    x = 615.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.