Home / 1,984.50-2,976.90-523.65

Finding the Fourth Proportional to 1,984.50, 2,976.90 and 523.65

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Solution

The fourth proportional to 1,984.50, 2,976.90 and 523.65 is: 785.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.50 : 2,976.90 = 523.65 : x
  2. Step 2: Convert to fraction form
    1,984.50/2,976.90 = 523.65/x
  3. Step 3: Cross multiply
    1,984.50x = 2,976.90 × 523.65
  4. Step 4: Simplify right side
    1,984.50x = 1,558,853.69
  5. Step 5: Solve for x
    x = 1,558,853.69/1,984.50
  6. Step 6: Final answer
    x = 785.51

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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.