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Finding the Fourth Proportional to 1,286.82, 1,776.33 and 820.98

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Solution

The fourth proportional to 1,286.82, 1,776.33 and 820.98 is: 1,133.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.82 : 1,776.33 = 820.98 : x
  2. Step 2: Convert to fraction form
    1,286.82/1,776.33 = 820.98/x
  3. Step 3: Cross multiply
    1,286.82x = 1,776.33 × 820.98
  4. Step 4: Simplify right side
    1,286.82x = 1,458,331.40
  5. Step 5: Solve for x
    x = 1,458,331.40/1,286.82
  6. Step 6: Final answer
    x = 1,133.28

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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.