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Finding the Fourth Proportional to 1,257.81, 1,886.37 and 380.31

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Solution

The fourth proportional to 1,257.81, 1,886.37 and 380.31 is: 570.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.81 : 1,886.37 = 380.31 : x
  2. Step 2: Convert to fraction form
    1,257.81/1,886.37 = 380.31/x
  3. Step 3: Cross multiply
    1,257.81x = 1,886.37 × 380.31
  4. Step 4: Simplify right side
    1,257.81x = 717,405.37
  5. Step 5: Solve for x
    x = 717,405.37/1,257.81
  6. Step 6: Final answer
    x = 570.36

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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.