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Finding the Fourth Proportional to 1,208.79, 1,812.31 and 386.60

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Solution

The fourth proportional to 1,208.79, 1,812.31 and 386.60 is: 579.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.79 : 1,812.31 = 386.60 : x
  2. Step 2: Convert to fraction form
    1,208.79/1,812.31 = 386.60/x
  3. Step 3: Cross multiply
    1,208.79x = 1,812.31 × 386.60
  4. Step 4: Simplify right side
    1,208.79x = 700,629.02
  5. Step 5: Solve for x
    x = 700,629.02/1,208.79
  6. Step 6: Final answer
    x = 579.61

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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.