Home / 1,309.08-1,961.46-820.92

Finding the Fourth Proportional to 1,309.08, 1,961.46 and 820.92

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Solution

The fourth proportional to 1,309.08, 1,961.46 and 820.92 is: 1,230.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.08 : 1,961.46 = 820.92 : x
  2. Step 2: Convert to fraction form
    1,309.08/1,961.46 = 820.92/x
  3. Step 3: Cross multiply
    1,309.08x = 1,961.46 × 820.92
  4. Step 4: Simplify right side
    1,309.08x = 1,610,201.74
  5. Step 5: Solve for x
    x = 1,610,201.74/1,309.08
  6. Step 6: Final answer
    x = 1,230.03

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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.