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Finding the Fourth Proportional to 1,983.97, 2,975.65 and 523.23

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Solution

The fourth proportional to 1,983.97, 2,975.65 and 523.23 is: 784.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.97 : 2,975.65 = 523.23 : x
  2. Step 2: Convert to fraction form
    1,983.97/2,975.65 = 523.23/x
  3. Step 3: Cross multiply
    1,983.97x = 2,975.65 × 523.23
  4. Step 4: Simplify right side
    1,983.97x = 1,556,959.20
  5. Step 5: Solve for x
    x = 1,556,959.20/1,983.97
  6. Step 6: Final answer
    x = 784.77

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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.