Home / 1,301.96-1,795.82-777.80

Finding the Fourth Proportional to 1,301.96, 1,795.82 and 777.80

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Solution

The fourth proportional to 1,301.96, 1,795.82 and 777.80 is: 1,072.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.96 : 1,795.82 = 777.80 : x
  2. Step 2: Convert to fraction form
    1,301.96/1,795.82 = 777.80/x
  3. Step 3: Cross multiply
    1,301.96x = 1,795.82 × 777.80
  4. Step 4: Simplify right side
    1,301.96x = 1,396,788.80
  5. Step 5: Solve for x
    x = 1,396,788.80/1,301.96
  6. Step 6: Final answer
    x = 1,072.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.