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Finding the Fourth Proportional to 1,179.54, 1,627.62 and 682.14

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Solution

The fourth proportional to 1,179.54, 1,627.62 and 682.14 is: 941.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.54 : 1,627.62 = 682.14 : x
  2. Step 2: Convert to fraction form
    1,179.54/1,627.62 = 682.14/x
  3. Step 3: Cross multiply
    1,179.54x = 1,627.62 × 682.14
  4. Step 4: Simplify right side
    1,179.54x = 1,110,264.71
  5. Step 5: Solve for x
    x = 1,110,264.71/1,179.54
  6. Step 6: Final answer
    x = 941.27

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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.