Home / 1,253.36-1,877.60-819.20

Finding the Fourth Proportional to 1,253.36, 1,877.60 and 819.20

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Solution

The fourth proportional to 1,253.36, 1,877.60 and 819.20 is: 1,227.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.36 : 1,877.60 = 819.20 : x
  2. Step 2: Convert to fraction form
    1,253.36/1,877.60 = 819.20/x
  3. Step 3: Cross multiply
    1,253.36x = 1,877.60 × 819.20
  4. Step 4: Simplify right side
    1,253.36x = 1,538,116.44
  5. Step 5: Solve for x
    x = 1,538,116.44/1,253.36
  6. Step 6: Final answer
    x = 1,227.20

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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.