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Finding the Fourth Proportional to 646.44, 968.14 and 321.09

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Solution

The fourth proportional to 646.44, 968.14 and 321.09 is: 480.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.44 : 968.14 = 321.09 : x
  2. Step 2: Convert to fraction form
    646.44/968.14 = 321.09/x
  3. Step 3: Cross multiply
    646.44x = 968.14 × 321.09
  4. Step 4: Simplify right side
    646.44x = 310,860.07
  5. Step 5: Solve for x
    x = 310,860.07/646.44
  6. Step 6: Final answer
    x = 480.88

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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.