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Finding the Fourth Proportional to 1,286.67, 1,776.29 and 991.29

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Solution

The fourth proportional to 1,286.67, 1,776.29 and 991.29 is: 1,368.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.67 : 1,776.29 = 991.29 : x
  2. Step 2: Convert to fraction form
    1,286.67/1,776.29 = 991.29/x
  3. Step 3: Cross multiply
    1,286.67x = 1,776.29 × 991.29
  4. Step 4: Simplify right side
    1,286.67x = 1,760,818.51
  5. Step 5: Solve for x
    x = 1,760,818.51/1,286.67
  6. Step 6: Final answer
    x = 1,368.51

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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.