Home / 1,418.08-2,122.72-767.20

Finding the Fourth Proportional to 1,418.08, 2,122.72 and 767.20

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Solution

The fourth proportional to 1,418.08, 2,122.72 and 767.20 is: 1,148.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.08 : 2,122.72 = 767.20 : x
  2. Step 2: Convert to fraction form
    1,418.08/2,122.72 = 767.20/x
  3. Step 3: Cross multiply
    1,418.08x = 2,122.72 × 767.20
  4. Step 4: Simplify right side
    1,418.08x = 1,628,550.78
  5. Step 5: Solve for x
    x = 1,628,550.78/1,418.08
  6. Step 6: Final answer
    x = 1,148.42

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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.