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Finding the Fourth Proportional to 1,228.78, 1,843.28 and 407.06

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Solution

The fourth proportional to 1,228.78, 1,843.28 and 407.06 is: 610.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.78 : 1,843.28 = 407.06 : x
  2. Step 2: Convert to fraction form
    1,228.78/1,843.28 = 407.06/x
  3. Step 3: Cross multiply
    1,228.78x = 1,843.28 × 407.06
  4. Step 4: Simplify right side
    1,228.78x = 750,325.56
  5. Step 5: Solve for x
    x = 750,325.56/1,228.78
  6. Step 6: Final answer
    x = 610.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.