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Finding the Fourth Proportional to 992.75, 1,369.78 and 673.82

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Solution

The fourth proportional to 992.75, 1,369.78 and 673.82 is: 929.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.75 : 1,369.78 = 673.82 : x
  2. Step 2: Convert to fraction form
    992.75/1,369.78 = 673.82/x
  3. Step 3: Cross multiply
    992.75x = 1,369.78 × 673.82
  4. Step 4: Simplify right side
    992.75x = 922,989.47
  5. Step 5: Solve for x
    x = 922,989.47/992.75
  6. Step 6: Final answer
    x = 929.73

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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.