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Finding the Fourth Proportional to 1,179, 1,627.43 and 713.25

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Solution

The fourth proportional to 1,179, 1,627.43 and 713.25 is: 984.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179 : 1,627.43 = 713.25 : x
  2. Step 2: Convert to fraction form
    1,179/1,627.43 = 713.25/x
  3. Step 3: Cross multiply
    1,179x = 1,627.43 × 713.25
  4. Step 4: Simplify right side
    1,179x = 1,160,760.88
  5. Step 5: Solve for x
    x = 1,160,760.88/1,179
  6. Step 6: Final answer
    x = 984.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.