Home / 1,380.65-2,072.30-723.15

Finding the Fourth Proportional to 1,380.65, 2,072.30 and 723.15

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Solution

The fourth proportional to 1,380.65, 2,072.30 and 723.15 is: 1,085.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.65 : 2,072.30 = 723.15 : x
  2. Step 2: Convert to fraction form
    1,380.65/2,072.30 = 723.15/x
  3. Step 3: Cross multiply
    1,380.65x = 2,072.30 × 723.15
  4. Step 4: Simplify right side
    1,380.65x = 1,498,580.13
  5. Step 5: Solve for x
    x = 1,498,580.13/1,380.65
  6. Step 6: Final answer
    x = 1,085.42

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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.