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Finding the Fourth Proportional to 1,661.45, 2,293.12 and 989.41

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Solution

The fourth proportional to 1,661.45, 2,293.12 and 989.41 is: 1,365.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.45 : 2,293.12 = 989.41 : x
  2. Step 2: Convert to fraction form
    1,661.45/2,293.12 = 989.41/x
  3. Step 3: Cross multiply
    1,661.45x = 2,293.12 × 989.41
  4. Step 4: Simplify right side
    1,661.45x = 2,268,835.86
  5. Step 5: Solve for x
    x = 2,268,835.86/1,661.45
  6. Step 6: Final answer
    x = 1,365.58

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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.