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Finding the Fourth Proportional to 1,851.13, 2,775.83 and 680.83

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Solution

The fourth proportional to 1,851.13, 2,775.83 and 680.83 is: 1,020.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.13 : 2,775.83 = 680.83 : x
  2. Step 2: Convert to fraction form
    1,851.13/2,775.83 = 680.83/x
  3. Step 3: Cross multiply
    1,851.13x = 2,775.83 × 680.83
  4. Step 4: Simplify right side
    1,851.13x = 1,889,873.58
  5. Step 5: Solve for x
    x = 1,889,873.58/1,851.13
  6. Step 6: Final answer
    x = 1,020.93

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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.