Home / 1,519.23-2,277.80-777.03

Finding the Fourth Proportional to 1,519.23, 2,277.80 and 777.03

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Solution

The fourth proportional to 1,519.23, 2,277.80 and 777.03 is: 1,165.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.23 : 2,277.80 = 777.03 : x
  2. Step 2: Convert to fraction form
    1,519.23/2,277.80 = 777.03/x
  3. Step 3: Cross multiply
    1,519.23x = 2,277.80 × 777.03
  4. Step 4: Simplify right side
    1,519.23x = 1,769,918.93
  5. Step 5: Solve for x
    x = 1,769,918.93/1,519.23
  6. Step 6: Final answer
    x = 1,165.01

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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.