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Finding the Fourth Proportional to 1,228.60, 1,842.86 and 304.15

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Solution

The fourth proportional to 1,228.60, 1,842.86 and 304.15 is: 456.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.60 : 1,842.86 = 304.15 : x
  2. Step 2: Convert to fraction form
    1,228.60/1,842.86 = 304.15/x
  3. Step 3: Cross multiply
    1,228.60x = 1,842.86 × 304.15
  4. Step 4: Simplify right side
    1,228.60x = 560,504.35
  5. Step 5: Solve for x
    x = 560,504.35/1,228.60
  6. Step 6: Final answer
    x = 456.21

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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.