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Finding the Fourth Proportional to 726.60, 984.15 and 726.60

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Solution

The fourth proportional to 726.60, 984.15 and 726.60 is: 984.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.60 : 984.15 = 726.60 : x
  2. Step 2: Convert to fraction form
    726.60/984.15 = 726.60/x
  3. Step 3: Cross multiply
    726.60x = 984.15 × 726.60
  4. Step 4: Simplify right side
    726.60x = 715,083.39
  5. Step 5: Solve for x
    x = 715,083.39/726.60
  6. Step 6: Final answer
    x = 984.15

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.