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Finding the Fourth Proportional to 1,204.43, 1,807.55 and 793.41

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Solution

The fourth proportional to 1,204.43, 1,807.55 and 793.41 is: 1,190.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.43 : 1,807.55 = 793.41 : x
  2. Step 2: Convert to fraction form
    1,204.43/1,807.55 = 793.41/x
  3. Step 3: Cross multiply
    1,204.43x = 1,807.55 × 793.41
  4. Step 4: Simplify right side
    1,204.43x = 1,434,124.28
  5. Step 5: Solve for x
    x = 1,434,124.28/1,204.43
  6. Step 6: Final answer
    x = 1,190.71

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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.