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Finding the Fourth Proportional to 1,257.69, 1,886.81 and 380.26

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Solution

The fourth proportional to 1,257.69, 1,886.81 and 380.26 is: 570.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.69 : 1,886.81 = 380.26 : x
  2. Step 2: Convert to fraction form
    1,257.69/1,886.81 = 380.26/x
  3. Step 3: Cross multiply
    1,257.69x = 1,886.81 × 380.26
  4. Step 4: Simplify right side
    1,257.69x = 717,471.75
  5. Step 5: Solve for x
    x = 717,471.75/1,257.69
  6. Step 6: Final answer
    x = 570.47

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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.