Home / 1,984.30-2,976.35-523.40

Finding the Fourth Proportional to 1,984.30, 2,976.35 and 523.40

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Solution

The fourth proportional to 1,984.30, 2,976.35 and 523.40 is: 785.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.30 : 2,976.35 = 523.40 : x
  2. Step 2: Convert to fraction form
    1,984.30/2,976.35 = 523.40/x
  3. Step 3: Cross multiply
    1,984.30x = 2,976.35 × 523.40
  4. Step 4: Simplify right side
    1,984.30x = 1,557,804.09
  5. Step 5: Solve for x
    x = 1,557,804.09/1,984.30
  6. Step 6: Final answer
    x = 785.07

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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.