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Finding the Fourth Proportional to 1,364.76, 2,047.20 and 820.44

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Solution

The fourth proportional to 1,364.76, 2,047.20 and 820.44 is: 1,230.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.76 : 2,047.20 = 820.44 : x
  2. Step 2: Convert to fraction form
    1,364.76/2,047.20 = 820.44/x
  3. Step 3: Cross multiply
    1,364.76x = 2,047.20 × 820.44
  4. Step 4: Simplify right side
    1,364.76x = 1,679,604.77
  5. Step 5: Solve for x
    x = 1,679,604.77/1,364.76
  6. Step 6: Final answer
    x = 1,230.70

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