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Finding the Fourth Proportional to 441.02, 664.88 and 435.54

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Solution

The fourth proportional to 441.02, 664.88 and 435.54 is: 656.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.02 : 664.88 = 435.54 : x
  2. Step 2: Convert to fraction form
    441.02/664.88 = 435.54/x
  3. Step 3: Cross multiply
    441.02x = 664.88 × 435.54
  4. Step 4: Simplify right side
    441.02x = 289,579.66
  5. Step 5: Solve for x
    x = 289,579.66/441.02
  6. Step 6: Final answer
    x = 656.62

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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.