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Finding the Fourth Proportional to 1,286.80, 1,776.26 and 844.40

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Solution

The fourth proportional to 1,286.80, 1,776.26 and 844.40 is: 1,165.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.80 : 1,776.26 = 844.40 : x
  2. Step 2: Convert to fraction form
    1,286.80/1,776.26 = 844.40/x
  3. Step 3: Cross multiply
    1,286.80x = 1,776.26 × 844.40
  4. Step 4: Simplify right side
    1,286.80x = 1,499,873.94
  5. Step 5: Solve for x
    x = 1,499,873.94/1,286.80
  6. Step 6: Final answer
    x = 1,165.58

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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.