Home / 1,219.05-1,828.56-780.51

Finding the Fourth Proportional to 1,219.05, 1,828.56 and 780.51

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Solution

The fourth proportional to 1,219.05, 1,828.56 and 780.51 is: 1,170.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.05 : 1,828.56 = 780.51 : x
  2. Step 2: Convert to fraction form
    1,219.05/1,828.56 = 780.51/x
  3. Step 3: Cross multiply
    1,219.05x = 1,828.56 × 780.51
  4. Step 4: Simplify right side
    1,219.05x = 1,427,213.30
  5. Step 5: Solve for x
    x = 1,427,213.30/1,219.05
  6. Step 6: Final answer
    x = 1,170.76

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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.