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Finding the Fourth Proportional to 713.56, 984.65 and 398.80

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Solution

The fourth proportional to 713.56, 984.65 and 398.80 is: 550.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.56 : 984.65 = 398.80 : x
  2. Step 2: Convert to fraction form
    713.56/984.65 = 398.80/x
  3. Step 3: Cross multiply
    713.56x = 984.65 × 398.80
  4. Step 4: Simplify right side
    713.56x = 392,676.01
  5. Step 5: Solve for x
    x = 392,676.01/713.56
  6. Step 6: Final answer
    x = 550.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.