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Finding the Fourth Proportional to 1,616.91, 2,231.24 and 908.88

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Solution

The fourth proportional to 1,616.91, 2,231.24 and 908.88 is: 1,254.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.91 : 2,231.24 = 908.88 : x
  2. Step 2: Convert to fraction form
    1,616.91/2,231.24 = 908.88/x
  3. Step 3: Cross multiply
    1,616.91x = 2,231.24 × 908.88
  4. Step 4: Simplify right side
    1,616.91x = 2,027,924.87
  5. Step 5: Solve for x
    x = 2,027,924.87/1,616.91
  6. Step 6: Final answer
    x = 1,254.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.