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Finding the Fourth Proportional to 1,604.52, 2,213.84 and 905.88

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Solution

The fourth proportional to 1,604.52, 2,213.84 and 905.88 is: 1,249.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.52 : 2,213.84 = 905.88 : x
  2. Step 2: Convert to fraction form
    1,604.52/2,213.84 = 905.88/x
  3. Step 3: Cross multiply
    1,604.52x = 2,213.84 × 905.88
  4. Step 4: Simplify right side
    1,604.52x = 2,005,473.38
  5. Step 5: Solve for x
    x = 2,005,473.38/1,604.52
  6. Step 6: Final answer
    x = 1,249.89

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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.