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Finding the Fourth Proportional to 1,105.03, 1,525.41 and 812.41

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Solution

The fourth proportional to 1,105.03, 1,525.41 and 812.41 is: 1,121.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.03 : 1,525.41 = 812.41 : x
  2. Step 2: Convert to fraction form
    1,105.03/1,525.41 = 812.41/x
  3. Step 3: Cross multiply
    1,105.03x = 1,525.41 × 812.41
  4. Step 4: Simplify right side
    1,105.03x = 1,239,258.34
  5. Step 5: Solve for x
    x = 1,239,258.34/1,105.03
  6. Step 6: Final answer
    x = 1,121.47

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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.