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Finding the Fourth Proportional to 1,228.29, 1,842.45 and 303.85

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Solution

The fourth proportional to 1,228.29, 1,842.45 and 303.85 is: 455.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.29 : 1,842.45 = 303.85 : x
  2. Step 2: Convert to fraction form
    1,228.29/1,842.45 = 303.85/x
  3. Step 3: Cross multiply
    1,228.29x = 1,842.45 × 303.85
  4. Step 4: Simplify right side
    1,228.29x = 559,828.43
  5. Step 5: Solve for x
    x = 559,828.43/1,228.29
  6. Step 6: Final answer
    x = 455.78

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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.