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Finding the Fourth Proportional to 713.23, 983.94 and 447.78

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Solution

The fourth proportional to 713.23, 983.94 and 447.78 is: 617.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.23 : 983.94 = 447.78 : x
  2. Step 2: Convert to fraction form
    713.23/983.94 = 447.78/x
  3. Step 3: Cross multiply
    713.23x = 983.94 × 447.78
  4. Step 4: Simplify right side
    713.23x = 440,588.65
  5. Step 5: Solve for x
    x = 440,588.65/713.23
  6. Step 6: Final answer
    x = 617.74

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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.