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Finding the Fourth Proportional to 1,192.79, 1,647.27 and 820.73

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Solution

The fourth proportional to 1,192.79, 1,647.27 and 820.73 is: 1,133.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.79 : 1,647.27 = 820.73 : x
  2. Step 2: Convert to fraction form
    1,192.79/1,647.27 = 820.73/x
  3. Step 3: Cross multiply
    1,192.79x = 1,647.27 × 820.73
  4. Step 4: Simplify right side
    1,192.79x = 1,351,968.03
  5. Step 5: Solve for x
    x = 1,351,968.03/1,192.79
  6. Step 6: Final answer
    x = 1,133.45

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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.