Home / 1,322.56-1,984.20-456.80

Finding the Fourth Proportional to 1,322.56, 1,984.20 and 456.80

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Solution

The fourth proportional to 1,322.56, 1,984.20 and 456.80 is: 685.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.56 : 1,984.20 = 456.80 : x
  2. Step 2: Convert to fraction form
    1,322.56/1,984.20 = 456.80/x
  3. Step 3: Cross multiply
    1,322.56x = 1,984.20 × 456.80
  4. Step 4: Simplify right side
    1,322.56x = 906,382.56
  5. Step 5: Solve for x
    x = 906,382.56/1,322.56
  6. Step 6: Final answer
    x = 685.32

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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.