Home / 1,619.20-2,428.96-523.52

Finding the Fourth Proportional to 1,619.20, 2,428.96 and 523.52

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Solution

The fourth proportional to 1,619.20, 2,428.96 and 523.52 is: 785.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.20 : 2,428.96 = 523.52 : x
  2. Step 2: Convert to fraction form
    1,619.20/2,428.96 = 523.52/x
  3. Step 3: Cross multiply
    1,619.20x = 2,428.96 × 523.52
  4. Step 4: Simplify right side
    1,619.20x = 1,271,609.14
  5. Step 5: Solve for x
    x = 1,271,609.14/1,619.20
  6. Step 6: Final answer
    x = 785.33

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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.