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Finding the Fourth Proportional to 1,203.05, 1,795.87 and 1,057.25

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Solution

The fourth proportional to 1,203.05, 1,795.87 and 1,057.25 is: 1,578.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.05 : 1,795.87 = 1,057.25 : x
  2. Step 2: Convert to fraction form
    1,203.05/1,795.87 = 1,057.25/x
  3. Step 3: Cross multiply
    1,203.05x = 1,795.87 × 1,057.25
  4. Step 4: Simplify right side
    1,203.05x = 1,898,683.56
  5. Step 5: Solve for x
    x = 1,898,683.56/1,203.05
  6. Step 6: Final answer
    x = 1,578.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.