Home / 1,206.28-1,809.42-629.02

Finding the Fourth Proportional to 1,206.28, 1,809.42 and 629.02

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Solution

The fourth proportional to 1,206.28, 1,809.42 and 629.02 is: 943.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.28 : 1,809.42 = 629.02 : x
  2. Step 2: Convert to fraction form
    1,206.28/1,809.42 = 629.02/x
  3. Step 3: Cross multiply
    1,206.28x = 1,809.42 × 629.02
  4. Step 4: Simplify right side
    1,206.28x = 1,138,161.37
  5. Step 5: Solve for x
    x = 1,138,161.37/1,206.28
  6. Step 6: Final answer
    x = 943.53

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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.