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Finding the Fourth Proportional to 444.96, 664.91 and 333.05

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Solution

The fourth proportional to 444.96, 664.91 and 333.05 is: 497.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.96 : 664.91 = 333.05 : x
  2. Step 2: Convert to fraction form
    444.96/664.91 = 333.05/x
  3. Step 3: Cross multiply
    444.96x = 664.91 × 333.05
  4. Step 4: Simplify right side
    444.96x = 221,452.02
  5. Step 5: Solve for x
    x = 221,452.02/444.96
  6. Step 6: Final answer
    x = 497.69

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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.