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Finding the Fourth Proportional to 441.92, 666.72 and 428.48

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Solution

The fourth proportional to 441.92, 666.72 and 428.48 is: 646.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.92 : 666.72 = 428.48 : x
  2. Step 2: Convert to fraction form
    441.92/666.72 = 428.48/x
  3. Step 3: Cross multiply
    441.92x = 666.72 × 428.48
  4. Step 4: Simplify right side
    441.92x = 285,676.19
  5. Step 5: Solve for x
    x = 285,676.19/441.92
  6. Step 6: Final answer
    x = 646.44

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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.