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Finding the Fourth Proportional to 1,442.96, 1,989.49 and 1,203.80

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Solution

The fourth proportional to 1,442.96, 1,989.49 and 1,203.80 is: 1,659.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.96 : 1,989.49 = 1,203.80 : x
  2. Step 2: Convert to fraction form
    1,442.96/1,989.49 = 1,203.80/x
  3. Step 3: Cross multiply
    1,442.96x = 1,989.49 × 1,203.80
  4. Step 4: Simplify right side
    1,442.96x = 2,394,935.11
  5. Step 5: Solve for x
    x = 2,394,935.11/1,442.96
  6. Step 6: Final answer
    x = 1,659.73

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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.