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Finding the Fourth Proportional to 443.32, 666 and 418.72

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Solution

The fourth proportional to 443.32, 666 and 418.72 is: 629.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.32 : 666 = 418.72 : x
  2. Step 2: Convert to fraction form
    443.32/666 = 418.72/x
  3. Step 3: Cross multiply
    443.32x = 666 × 418.72
  4. Step 4: Simplify right side
    443.32x = 278,867.52
  5. Step 5: Solve for x
    x = 278,867.52/443.32
  6. Step 6: Final answer
    x = 629.04

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