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Finding the Fourth Proportional to 1,251.63, 1,726.84 and 720.37

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Solution

The fourth proportional to 1,251.63, 1,726.84 and 720.37 is: 993.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.63 : 1,726.84 = 720.37 : x
  2. Step 2: Convert to fraction form
    1,251.63/1,726.84 = 720.37/x
  3. Step 3: Cross multiply
    1,251.63x = 1,726.84 × 720.37
  4. Step 4: Simplify right side
    1,251.63x = 1,243,963.73
  5. Step 5: Solve for x
    x = 1,243,963.73/1,251.63
  6. Step 6: Final answer
    x = 993.87

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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.