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Finding the Fourth Proportional to 1,003.85, 1,383.84 and 755.18

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Solution

The fourth proportional to 1,003.85, 1,383.84 and 755.18 is: 1,041.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.85 : 1,383.84 = 755.18 : x
  2. Step 2: Convert to fraction form
    1,003.85/1,383.84 = 755.18/x
  3. Step 3: Cross multiply
    1,003.85x = 1,383.84 × 755.18
  4. Step 4: Simplify right side
    1,003.85x = 1,045,048.29
  5. Step 5: Solve for x
    x = 1,045,048.29/1,003.85
  6. Step 6: Final answer
    x = 1,041.04

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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.