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Finding the Fourth Proportional to 992.23, 1,369.50 and 660.67

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Solution

The fourth proportional to 992.23, 1,369.50 and 660.67 is: 911.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.23 : 1,369.50 = 660.67 : x
  2. Step 2: Convert to fraction form
    992.23/1,369.50 = 660.67/x
  3. Step 3: Cross multiply
    992.23x = 1,369.50 × 660.67
  4. Step 4: Simplify right side
    992.23x = 904,787.57
  5. Step 5: Solve for x
    x = 904,787.57/992.23
  6. Step 6: Final answer
    x = 911.87

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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.