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Finding the Fourth Proportional to 1,391.72, 1,923.08 and 998.06

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Solution

The fourth proportional to 1,391.72, 1,923.08 and 998.06 is: 1,379.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.72 : 1,923.08 = 998.06 : x
  2. Step 2: Convert to fraction form
    1,391.72/1,923.08 = 998.06/x
  3. Step 3: Cross multiply
    1,391.72x = 1,923.08 × 998.06
  4. Step 4: Simplify right side
    1,391.72x = 1,919,334.62
  5. Step 5: Solve for x
    x = 1,919,334.62/1,391.72
  6. Step 6: Final answer
    x = 1,379.11

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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.