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Finding the Fourth Proportional to 713.73, 984.94 and 399.00

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Solution

The fourth proportional to 713.73, 984.94 and 399.00 is: 550.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.73 : 984.94 = 399.00 : x
  2. Step 2: Convert to fraction form
    713.73/984.94 = 399.00/x
  3. Step 3: Cross multiply
    713.73x = 984.94 × 399.00
  4. Step 4: Simplify right side
    713.73x = 392,988.22
  5. Step 5: Solve for x
    x = 392,988.22/713.73
  6. Step 6: Final answer
    x = 550.61

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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.