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Finding the Fourth Proportional to 739.40, 984.06 and 739.40

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Solution

The fourth proportional to 739.40, 984.06 and 739.40 is: 984.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.40 : 984.06 = 739.40 : x
  2. Step 2: Convert to fraction form
    739.40/984.06 = 739.40/x
  3. Step 3: Cross multiply
    739.40x = 984.06 × 739.40
  4. Step 4: Simplify right side
    739.40x = 727,613.96
  5. Step 5: Solve for x
    x = 727,613.96/739.40
  6. Step 6: Final answer
    x = 984.06

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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.