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Finding the Fourth Proportional to 1,003.75, 1,503.43 and 828.45

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Solution

The fourth proportional to 1,003.75, 1,503.43 and 828.45 is: 1,240.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.75 : 1,503.43 = 828.45 : x
  2. Step 2: Convert to fraction form
    1,003.75/1,503.43 = 828.45/x
  3. Step 3: Cross multiply
    1,003.75x = 1,503.43 × 828.45
  4. Step 4: Simplify right side
    1,003.75x = 1,245,516.58
  5. Step 5: Solve for x
    x = 1,245,516.58/1,003.75
  6. Step 6: Final answer
    x = 1,240.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.