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Finding the Fourth Proportional to 1,219.56, 1,828.81 and 386.42

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Solution

The fourth proportional to 1,219.56, 1,828.81 and 386.42 is: 579.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.56 : 1,828.81 = 386.42 : x
  2. Step 2: Convert to fraction form
    1,219.56/1,828.81 = 386.42/x
  3. Step 3: Cross multiply
    1,219.56x = 1,828.81 × 386.42
  4. Step 4: Simplify right side
    1,219.56x = 706,688.76
  5. Step 5: Solve for x
    x = 706,688.76/1,219.56
  6. Step 6: Final answer
    x = 579.46

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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.