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Finding the Fourth Proportional to 441.06, 665.46 and 437.41

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Solution

The fourth proportional to 441.06, 665.46 and 437.41 is: 659.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.06 : 665.46 = 437.41 : x
  2. Step 2: Convert to fraction form
    441.06/665.46 = 437.41/x
  3. Step 3: Cross multiply
    441.06x = 665.46 × 437.41
  4. Step 4: Simplify right side
    441.06x = 291,078.86
  5. Step 5: Solve for x
    x = 291,078.86/441.06
  6. Step 6: Final answer
    x = 659.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.