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Finding the Fourth Proportional to 968.25, 1,452.42 and 284.25

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Solution

The fourth proportional to 968.25, 1,452.42 and 284.25 is: 426.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.25 : 1,452.42 = 284.25 : x
  2. Step 2: Convert to fraction form
    968.25/1,452.42 = 284.25/x
  3. Step 3: Cross multiply
    968.25x = 1,452.42 × 284.25
  4. Step 4: Simplify right side
    968.25x = 412,850.39
  5. Step 5: Solve for x
    x = 412,850.39/968.25
  6. Step 6: Final answer
    x = 426.39

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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.