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Finding the Fourth Proportional to 1,203.55, 1,796.62 and 1,057.75

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Solution

The fourth proportional to 1,203.55, 1,796.62 and 1,057.75 is: 1,578.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.55 : 1,796.62 = 1,057.75 : x
  2. Step 2: Convert to fraction form
    1,203.55/1,796.62 = 1,057.75/x
  3. Step 3: Cross multiply
    1,203.55x = 1,796.62 × 1,057.75
  4. Step 4: Simplify right side
    1,203.55x = 1,900,374.81
  5. Step 5: Solve for x
    x = 1,900,374.81/1,203.55
  6. Step 6: Final answer
    x = 1,578.97

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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.