Home / 1,619.39-2,428.24-523.61

Finding the Fourth Proportional to 1,619.39, 2,428.24 and 523.61

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Solution

The fourth proportional to 1,619.39, 2,428.24 and 523.61 is: 785.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.39 : 2,428.24 = 523.61 : x
  2. Step 2: Convert to fraction form
    1,619.39/2,428.24 = 523.61/x
  3. Step 3: Cross multiply
    1,619.39x = 2,428.24 × 523.61
  4. Step 4: Simplify right side
    1,619.39x = 1,271,437.30
  5. Step 5: Solve for x
    x = 1,271,437.30/1,619.39
  6. Step 6: Final answer
    x = 785.14

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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.