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Finding the Fourth Proportional to 726.94, 1,091.46 and 708.52

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Solution

The fourth proportional to 726.94, 1,091.46 and 708.52 is: 1,063.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.94 : 1,091.46 = 708.52 : x
  2. Step 2: Convert to fraction form
    726.94/1,091.46 = 708.52/x
  3. Step 3: Cross multiply
    726.94x = 1,091.46 × 708.52
  4. Step 4: Simplify right side
    726.94x = 773,321.24
  5. Step 5: Solve for x
    x = 773,321.24/726.94
  6. Step 6: Final answer
    x = 1,063.80

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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.