Home / 1,380.23-2,066.82-763.26

Finding the Fourth Proportional to 1,380.23, 2,066.82 and 763.26

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Solution

The fourth proportional to 1,380.23, 2,066.82 and 763.26 is: 1,142.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.23 : 2,066.82 = 763.26 : x
  2. Step 2: Convert to fraction form
    1,380.23/2,066.82 = 763.26/x
  3. Step 3: Cross multiply
    1,380.23x = 2,066.82 × 763.26
  4. Step 4: Simplify right side
    1,380.23x = 1,577,521.03
  5. Step 5: Solve for x
    x = 1,577,521.03/1,380.23
  6. Step 6: Final answer
    x = 1,142.94

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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.