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Finding the Fourth Proportional to 2,244.43, 3,366.76 and 684.31

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Solution

The fourth proportional to 2,244.43, 3,366.76 and 684.31 is: 1,026.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,244.43 : 3,366.76 = 684.31 : x
  2. Step 2: Convert to fraction form
    2,244.43/3,366.76 = 684.31/x
  3. Step 3: Cross multiply
    2,244.43x = 3,366.76 × 684.31
  4. Step 4: Simplify right side
    2,244.43x = 2,303,907.54
  5. Step 5: Solve for x
    x = 2,303,907.54/2,244.43
  6. Step 6: Final answer
    x = 1,026.50

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1.5x scale

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.