Home / 1,258.20-1,886.82-380.52

Finding the Fourth Proportional to 1,258.20, 1,886.82 and 380.52

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Solution

The fourth proportional to 1,258.20, 1,886.82 and 380.52 is: 570.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.20 : 1,886.82 = 380.52 : x
  2. Step 2: Convert to fraction form
    1,258.20/1,886.82 = 380.52/x
  3. Step 3: Cross multiply
    1,258.20x = 1,886.82 × 380.52
  4. Step 4: Simplify right side
    1,258.20x = 717,972.75
  5. Step 5: Solve for x
    x = 717,972.75/1,258.20
  6. Step 6: Final answer
    x = 570.63

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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.