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Finding the Fourth Proportional to 1,203.48, 1,805.49 and 381.80

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Solution

The fourth proportional to 1,203.48, 1,805.49 and 381.80 is: 572.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.48 : 1,805.49 = 381.80 : x
  2. Step 2: Convert to fraction form
    1,203.48/1,805.49 = 381.80/x
  3. Step 3: Cross multiply
    1,203.48x = 1,805.49 × 381.80
  4. Step 4: Simplify right side
    1,203.48x = 689,340.60
  5. Step 5: Solve for x
    x = 689,340.60/1,203.48
  6. Step 6: Final answer
    x = 572.79

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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.