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Finding the Fourth Proportional to 1,813.72, 2,721.20 and 717.49

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Solution

The fourth proportional to 1,813.72, 2,721.20 and 717.49 is: 1,076.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.72 : 2,721.20 = 717.49 : x
  2. Step 2: Convert to fraction form
    1,813.72/2,721.20 = 717.49/x
  3. Step 3: Cross multiply
    1,813.72x = 2,721.20 × 717.49
  4. Step 4: Simplify right side
    1,813.72x = 1,952,418.30
  5. Step 5: Solve for x
    x = 1,952,418.30/1,813.72
  6. Step 6: Final answer
    x = 1,076.47

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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.