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Finding the Fourth Proportional to 1,096.41, 1,512.78 and 670.94

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Solution

The fourth proportional to 1,096.41, 1,512.78 and 670.94 is: 925.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.41 : 1,512.78 = 670.94 : x
  2. Step 2: Convert to fraction form
    1,096.41/1,512.78 = 670.94/x
  3. Step 3: Cross multiply
    1,096.41x = 1,512.78 × 670.94
  4. Step 4: Simplify right side
    1,096.41x = 1,014,977.05
  5. Step 5: Solve for x
    x = 1,014,977.05/1,096.41
  6. Step 6: Final answer
    x = 925.73

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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.