Home / 1,119.20-1,544.49-770.09

Finding the Fourth Proportional to 1,119.20, 1,544.49 and 770.09

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Solution

The fourth proportional to 1,119.20, 1,544.49 and 770.09 is: 1,062.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.20 : 1,544.49 = 770.09 : x
  2. Step 2: Convert to fraction form
    1,119.20/1,544.49 = 770.09/x
  3. Step 3: Cross multiply
    1,119.20x = 1,544.49 × 770.09
  4. Step 4: Simplify right side
    1,119.20x = 1,189,388.58
  5. Step 5: Solve for x
    x = 1,189,388.58/1,119.20
  6. Step 6: Final answer
    x = 1,062.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.