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Finding the Fourth Proportional to 1,202.90, 1,804.40 and 381.15

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Solution

The fourth proportional to 1,202.90, 1,804.40 and 381.15 is: 571.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.90 : 1,804.40 = 381.15 : x
  2. Step 2: Convert to fraction form
    1,202.90/1,804.40 = 381.15/x
  3. Step 3: Cross multiply
    1,202.90x = 1,804.40 × 381.15
  4. Step 4: Simplify right side
    1,202.90x = 687,751.12
  5. Step 5: Solve for x
    x = 687,751.12/1,202.90
  6. Step 6: Final answer
    x = 571.75

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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.