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Finding the Fourth Proportional to 1,228.83, 1,843.87 and 766.50

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Solution

The fourth proportional to 1,228.83, 1,843.87 and 766.50 is: 1,150.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.83 : 1,843.87 = 766.50 : x
  2. Step 2: Convert to fraction form
    1,228.83/1,843.87 = 766.50/x
  3. Step 3: Cross multiply
    1,228.83x = 1,843.87 × 766.50
  4. Step 4: Simplify right side
    1,228.83x = 1,413,326.36
  5. Step 5: Solve for x
    x = 1,413,326.36/1,228.83
  6. Step 6: Final answer
    x = 1,150.14

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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.