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Finding the Fourth Proportional to 713.19, 984.48 and 447.56

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Solution

The fourth proportional to 713.19, 984.48 and 447.56 is: 617.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.19 : 984.48 = 447.56 : x
  2. Step 2: Convert to fraction form
    713.19/984.48 = 447.56/x
  3. Step 3: Cross multiply
    713.19x = 984.48 × 447.56
  4. Step 4: Simplify right side
    713.19x = 440,614.11
  5. Step 5: Solve for x
    x = 440,614.11/713.19
  6. Step 6: Final answer
    x = 617.81

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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.