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Finding the Fourth Proportional to 1,203.51, 1,661.40 and 984.81

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Solution

The fourth proportional to 1,203.51, 1,661.40 and 984.81 is: 1,359.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.51 : 1,661.40 = 984.81 : x
  2. Step 2: Convert to fraction form
    1,203.51/1,661.40 = 984.81/x
  3. Step 3: Cross multiply
    1,203.51x = 1,661.40 × 984.81
  4. Step 4: Simplify right side
    1,203.51x = 1,636,163.33
  5. Step 5: Solve for x
    x = 1,636,163.33/1,203.51
  6. Step 6: Final answer
    x = 1,359.49

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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.