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Finding the Fourth Proportional to 1,983.80, 2,976.22 and 597.08

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Solution

The fourth proportional to 1,983.80, 2,976.22 and 597.08 is: 895.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.80 : 2,976.22 = 597.08 : x
  2. Step 2: Convert to fraction form
    1,983.80/2,976.22 = 597.08/x
  3. Step 3: Cross multiply
    1,983.80x = 2,976.22 × 597.08
  4. Step 4: Simplify right side
    1,983.80x = 1,777,041.44
  5. Step 5: Solve for x
    x = 1,777,041.44/1,983.80
  6. Step 6: Final answer
    x = 895.78

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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.