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Finding the Fourth Proportional to 968.97, 1,446.42 and 852.21

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Solution

The fourth proportional to 968.97, 1,446.42 and 852.21 is: 1,272.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.97 : 1,446.42 = 852.21 : x
  2. Step 2: Convert to fraction form
    968.97/1,446.42 = 852.21/x
  3. Step 3: Cross multiply
    968.97x = 1,446.42 × 852.21
  4. Step 4: Simplify right side
    968.97x = 1,232,653.59
  5. Step 5: Solve for x
    x = 1,232,653.59/968.97
  6. Step 6: Final answer
    x = 1,272.13

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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.