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Finding the Fourth Proportional to 646, 968.28 and 321.02

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Solution

The fourth proportional to 646, 968.28 and 321.02 is: 481.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    646 : 968.28 = 321.02 : x
  2. Step 2: Convert to fraction form
    646/968.28 = 321.02/x
  3. Step 3: Cross multiply
    646x = 968.28 × 321.02
  4. Step 4: Simplify right side
    646x = 310,837.25
  5. Step 5: Solve for x
    x = 310,837.25/646
  6. Step 6: Final answer
    x = 481.17

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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.