Home / 1,258.25-1,886.96-819.23

Finding the Fourth Proportional to 1,258.25, 1,886.96 and 819.23

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Solution

The fourth proportional to 1,258.25, 1,886.96 and 819.23 is: 1,228.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.25 : 1,886.96 = 819.23 : x
  2. Step 2: Convert to fraction form
    1,258.25/1,886.96 = 819.23/x
  3. Step 3: Cross multiply
    1,258.25x = 1,886.96 × 819.23
  4. Step 4: Simplify right side
    1,258.25x = 1,545,846.85
  5. Step 5: Solve for x
    x = 1,545,846.85/1,258.25
  6. Step 6: Final answer
    x = 1,228.57

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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.