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Finding the Fourth Proportional to 1,367.81, 2,052.22 and 820.38

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Solution

The fourth proportional to 1,367.81, 2,052.22 and 820.38 is: 1,230.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.81 : 2,052.22 = 820.38 : x
  2. Step 2: Convert to fraction form
    1,367.81/2,052.22 = 820.38/x
  3. Step 3: Cross multiply
    1,367.81x = 2,052.22 × 820.38
  4. Step 4: Simplify right side
    1,367.81x = 1,683,598.19
  5. Step 5: Solve for x
    x = 1,683,598.19/1,367.81
  6. Step 6: Final answer
    x = 1,230.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.