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Finding the Fourth Proportional to 1,541.97, 2,313.39 and 663.99

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Solution

The fourth proportional to 1,541.97, 2,313.39 and 663.99 is: 996.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.97 : 2,313.39 = 663.99 : x
  2. Step 2: Convert to fraction form
    1,541.97/2,313.39 = 663.99/x
  3. Step 3: Cross multiply
    1,541.97x = 2,313.39 × 663.99
  4. Step 4: Simplify right side
    1,541.97x = 1,536,067.83
  5. Step 5: Solve for x
    x = 1,536,067.83/1,541.97
  6. Step 6: Final answer
    x = 996.17

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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.