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Finding the Fourth Proportional to 1,228.36, 1,842.54 and 363.28

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Solution

The fourth proportional to 1,228.36, 1,842.54 and 363.28 is: 544.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.36 : 1,842.54 = 363.28 : x
  2. Step 2: Convert to fraction form
    1,228.36/1,842.54 = 363.28/x
  3. Step 3: Cross multiply
    1,228.36x = 1,842.54 × 363.28
  4. Step 4: Simplify right side
    1,228.36x = 669,357.93
  5. Step 5: Solve for x
    x = 669,357.93/1,228.36
  6. Step 6: Final answer
    x = 544.92

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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.