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Finding the Fourth Proportional to 726.40, 998.72 and 646.97

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Solution

The fourth proportional to 726.40, 998.72 and 646.97 is: 889.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.40 : 998.72 = 646.97 : x
  2. Step 2: Convert to fraction form
    726.40/998.72 = 646.97/x
  3. Step 3: Cross multiply
    726.40x = 998.72 × 646.97
  4. Step 4: Simplify right side
    726.40x = 646,141.88
  5. Step 5: Solve for x
    x = 646,141.88/726.40
  6. Step 6: Final answer
    x = 889.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.