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Finding the Fourth Proportional to 936.56, 1,404.73 and 320.33

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Solution

The fourth proportional to 936.56, 1,404.73 and 320.33 is: 480.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.56 : 1,404.73 = 320.33 : x
  2. Step 2: Convert to fraction form
    936.56/1,404.73 = 320.33/x
  3. Step 3: Cross multiply
    936.56x = 1,404.73 × 320.33
  4. Step 4: Simplify right side
    936.56x = 449,968.54
  5. Step 5: Solve for x
    x = 449,968.54/936.56
  6. Step 6: Final answer
    x = 480.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.