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Finding the Fourth Proportional to 1,246.22, 1,869.27 and 380.42

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Solution

The fourth proportional to 1,246.22, 1,869.27 and 380.42 is: 570.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.22 : 1,869.27 = 380.42 : x
  2. Step 2: Convert to fraction form
    1,246.22/1,869.27 = 380.42/x
  3. Step 3: Cross multiply
    1,246.22x = 1,869.27 × 380.42
  4. Step 4: Simplify right side
    1,246.22x = 711,107.69
  5. Step 5: Solve for x
    x = 711,107.69/1,246.22
  6. Step 6: Final answer
    x = 570.61

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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.