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Finding the Fourth Proportional to 445.64, 664.65 and 441.16

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Solution

The fourth proportional to 445.64, 664.65 and 441.16 is: 657.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.64 : 664.65 = 441.16 : x
  2. Step 2: Convert to fraction form
    445.64/664.65 = 441.16/x
  3. Step 3: Cross multiply
    445.64x = 664.65 × 441.16
  4. Step 4: Simplify right side
    445.64x = 293,216.99
  5. Step 5: Solve for x
    x = 293,216.99/445.64
  6. Step 6: Final answer
    x = 657.97

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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.