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Finding the Fourth Proportional to 1,228.38, 1,842.09 and 766.38

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Solution

The fourth proportional to 1,228.38, 1,842.09 and 766.38 is: 1,149.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.38 : 1,842.09 = 766.38 : x
  2. Step 2: Convert to fraction form
    1,228.38/1,842.09 = 766.38/x
  3. Step 3: Cross multiply
    1,228.38x = 1,842.09 × 766.38
  4. Step 4: Simplify right side
    1,228.38x = 1,411,740.93
  5. Step 5: Solve for x
    x = 1,411,740.93/1,228.38
  6. Step 6: Final answer
    x = 1,149.27

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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.