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Finding the Fourth Proportional to 715.82, 980.43 and 673.79

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Solution

The fourth proportional to 715.82, 980.43 and 673.79 is: 922.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.82 : 980.43 = 673.79 : x
  2. Step 2: Convert to fraction form
    715.82/980.43 = 673.79/x
  3. Step 3: Cross multiply
    715.82x = 980.43 × 673.79
  4. Step 4: Simplify right side
    715.82x = 660,599.03
  5. Step 5: Solve for x
    x = 660,599.03/715.82
  6. Step 6: Final answer
    x = 922.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.