Home / 1,350.72-2,020.32-829.44

Finding the Fourth Proportional to 1,350.72, 2,020.32 and 829.44

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Solution

The fourth proportional to 1,350.72, 2,020.32 and 829.44 is: 1,240.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.72 : 2,020.32 = 829.44 : x
  2. Step 2: Convert to fraction form
    1,350.72/2,020.32 = 829.44/x
  3. Step 3: Cross multiply
    1,350.72x = 2,020.32 × 829.44
  4. Step 4: Simplify right side
    1,350.72x = 1,675,734.22
  5. Step 5: Solve for x
    x = 1,675,734.22/1,350.72
  6. Step 6: Final answer
    x = 1,240.62

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1.5x scale

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.