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Finding the Fourth Proportional to 674.47, 1,004.07 and 670.82

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Solution

The fourth proportional to 674.47, 1,004.07 and 670.82 is: 998.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.47 : 1,004.07 = 670.82 : x
  2. Step 2: Convert to fraction form
    674.47/1,004.07 = 670.82/x
  3. Step 3: Cross multiply
    674.47x = 1,004.07 × 670.82
  4. Step 4: Simplify right side
    674.47x = 673,546.88
  5. Step 5: Solve for x
    x = 673,546.88/674.47
  6. Step 6: Final answer
    x = 998.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.