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Finding the Fourth Proportional to 1,604.02, 2,213.51 and 905.40

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Solution

The fourth proportional to 1,604.02, 2,213.51 and 905.40 is: 1,249.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.02 : 2,213.51 = 905.40 : x
  2. Step 2: Convert to fraction form
    1,604.02/2,213.51 = 905.40/x
  3. Step 3: Cross multiply
    1,604.02x = 2,213.51 × 905.40
  4. Step 4: Simplify right side
    1,604.02x = 2,004,111.95
  5. Step 5: Solve for x
    x = 2,004,111.95/1,604.02
  6. Step 6: Final answer
    x = 1,249.43

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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.