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Finding the Fourth Proportional to 1,228.63, 1,843.05 and 351.15

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Solution

The fourth proportional to 1,228.63, 1,843.05 and 351.15 is: 526.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.63 : 1,843.05 = 351.15 : x
  2. Step 2: Convert to fraction form
    1,228.63/1,843.05 = 351.15/x
  3. Step 3: Cross multiply
    1,228.63x = 1,843.05 × 351.15
  4. Step 4: Simplify right side
    1,228.63x = 647,187.01
  5. Step 5: Solve for x
    x = 647,187.01/1,228.63
  6. Step 6: Final answer
    x = 526.76

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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.