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Finding the Fourth Proportional to 1,616.87, 2,424.97 and 727.49

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Solution

The fourth proportional to 1,616.87, 2,424.97 and 727.49 is: 1,091.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.87 : 2,424.97 = 727.49 : x
  2. Step 2: Convert to fraction form
    1,616.87/2,424.97 = 727.49/x
  3. Step 3: Cross multiply
    1,616.87x = 2,424.97 × 727.49
  4. Step 4: Simplify right side
    1,616.87x = 1,764,141.43
  5. Step 5: Solve for x
    x = 1,764,141.43/1,616.87
  6. Step 6: Final answer
    x = 1,091.08

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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.