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Finding the Fourth Proportional to 1,126.45, 1,546.22 and 999.33

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Solution

The fourth proportional to 1,126.45, 1,546.22 and 999.33 is: 1,371.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.45 : 1,546.22 = 999.33 : x
  2. Step 2: Convert to fraction form
    1,126.45/1,546.22 = 999.33/x
  3. Step 3: Cross multiply
    1,126.45x = 1,546.22 × 999.33
  4. Step 4: Simplify right side
    1,126.45x = 1,545,181.42
  5. Step 5: Solve for x
    x = 1,545,181.42/1,126.45
  6. Step 6: Final answer
    x = 1,371.73

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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.