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Finding the Fourth Proportional to 1,243.10, 1,863.94 and 511.81

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Solution

The fourth proportional to 1,243.10, 1,863.94 and 511.81 is: 767.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.10 : 1,863.94 = 511.81 : x
  2. Step 2: Convert to fraction form
    1,243.10/1,863.94 = 511.81/x
  3. Step 3: Cross multiply
    1,243.10x = 1,863.94 × 511.81
  4. Step 4: Simplify right side
    1,243.10x = 953,973.81
  5. Step 5: Solve for x
    x = 953,973.81/1,243.10
  6. Step 6: Final answer
    x = 767.42

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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.