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Finding the Fourth Proportional to 713.80, 984.58 and 447.99

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Solution

The fourth proportional to 713.80, 984.58 and 447.99 is: 617.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.80 : 984.58 = 447.99 : x
  2. Step 2: Convert to fraction form
    713.80/984.58 = 447.99/x
  3. Step 3: Cross multiply
    713.80x = 984.58 × 447.99
  4. Step 4: Simplify right side
    713.80x = 441,081.99
  5. Step 5: Solve for x
    x = 441,081.99/713.80
  6. Step 6: Final answer
    x = 617.93

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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.