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Finding the Fourth Proportional to 446.60, 666.02 and 441.80

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Solution

The fourth proportional to 446.60, 666.02 and 441.80 is: 658.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.60 : 666.02 = 441.80 : x
  2. Step 2: Convert to fraction form
    446.60/666.02 = 441.80/x
  3. Step 3: Cross multiply
    446.60x = 666.02 × 441.80
  4. Step 4: Simplify right side
    446.60x = 294,247.64
  5. Step 5: Solve for x
    x = 294,247.64/446.60
  6. Step 6: Final answer
    x = 658.86

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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.