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Finding the Fourth Proportional to 739.90, 984.73 and 739.90

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Solution

The fourth proportional to 739.90, 984.73 and 739.90 is: 984.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.90 : 984.73 = 739.90 : x
  2. Step 2: Convert to fraction form
    739.90/984.73 = 739.90/x
  3. Step 3: Cross multiply
    739.90x = 984.73 × 739.90
  4. Step 4: Simplify right side
    739.90x = 728,601.73
  5. Step 5: Solve for x
    x = 728,601.73/739.90
  6. Step 6: Final answer
    x = 984.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.