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Finding the Fourth Proportional to 1,661.49, 2,292.83 and 989.75

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Solution

The fourth proportional to 1,661.49, 2,292.83 and 989.75 is: 1,365.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.49 : 2,292.83 = 989.75 : x
  2. Step 2: Convert to fraction form
    1,661.49/2,292.83 = 989.75/x
  3. Step 3: Cross multiply
    1,661.49x = 2,292.83 × 989.75
  4. Step 4: Simplify right side
    1,661.49x = 2,269,332.99
  5. Step 5: Solve for x
    x = 2,269,332.99/1,661.49
  6. Step 6: Final answer
    x = 1,365.84

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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.