Home / 1,314.04-1,969.20-826.80

Finding the Fourth Proportional to 1,314.04, 1,969.20 and 826.80

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Solution

The fourth proportional to 1,314.04, 1,969.20 and 826.80 is: 1,239.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.04 : 1,969.20 = 826.80 : x
  2. Step 2: Convert to fraction form
    1,314.04/1,969.20 = 826.80/x
  3. Step 3: Cross multiply
    1,314.04x = 1,969.20 × 826.80
  4. Step 4: Simplify right side
    1,314.04x = 1,628,134.56
  5. Step 5: Solve for x
    x = 1,628,134.56/1,314.04
  6. Step 6: Final answer
    x = 1,239.03

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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.