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Finding the Fourth Proportional to 989.75, 1,361.79 and 965.45

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Solution

The fourth proportional to 989.75, 1,361.79 and 965.45 is: 1,328.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.75 : 1,361.79 = 965.45 : x
  2. Step 2: Convert to fraction form
    989.75/1,361.79 = 965.45/x
  3. Step 3: Cross multiply
    989.75x = 1,361.79 × 965.45
  4. Step 4: Simplify right side
    989.75x = 1,314,740.16
  5. Step 5: Solve for x
    x = 1,314,740.16/989.75
  6. Step 6: Final answer
    x = 1,328.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.