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Finding the Fourth Proportional to 1,232.97, 1,696.98 and 983.49

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Solution

The fourth proportional to 1,232.97, 1,696.98 and 983.49 is: 1,353.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.97 : 1,696.98 = 983.49 : x
  2. Step 2: Convert to fraction form
    1,232.97/1,696.98 = 983.49/x
  3. Step 3: Cross multiply
    1,232.97x = 1,696.98 × 983.49
  4. Step 4: Simplify right side
    1,232.97x = 1,668,962.86
  5. Step 5: Solve for x
    x = 1,668,962.86/1,232.97
  6. Step 6: Final answer
    x = 1,353.61

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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.