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Finding the Fourth Proportional to 1,246.38, 1,869.75 and 628.44

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Solution

The fourth proportional to 1,246.38, 1,869.75 and 628.44 is: 942.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.38 : 1,869.75 = 628.44 : x
  2. Step 2: Convert to fraction form
    1,246.38/1,869.75 = 628.44/x
  3. Step 3: Cross multiply
    1,246.38x = 1,869.75 × 628.44
  4. Step 4: Simplify right side
    1,246.38x = 1,175,025.69
  5. Step 5: Solve for x
    x = 1,175,025.69/1,246.38
  6. Step 6: Final answer
    x = 942.75

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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.