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Finding the Fourth Proportional to 1,179.40, 1,627.87 and 682.35

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Solution

The fourth proportional to 1,179.40, 1,627.87 and 682.35 is: 941.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.40 : 1,627.87 = 682.35 : x
  2. Step 2: Convert to fraction form
    1,179.40/1,627.87 = 682.35/x
  3. Step 3: Cross multiply
    1,179.40x = 1,627.87 × 682.35
  4. Step 4: Simplify right side
    1,179.40x = 1,110,777.09
  5. Step 5: Solve for x
    x = 1,110,777.09/1,179.40
  6. Step 6: Final answer
    x = 941.82

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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.