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Finding the Fourth Proportional to 698.54, 1,047.02 and 327.96

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Solution

The fourth proportional to 698.54, 1,047.02 and 327.96 is: 491.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.54 : 1,047.02 = 327.96 : x
  2. Step 2: Convert to fraction form
    698.54/1,047.02 = 327.96/x
  3. Step 3: Cross multiply
    698.54x = 1,047.02 × 327.96
  4. Step 4: Simplify right side
    698.54x = 343,380.68
  5. Step 5: Solve for x
    x = 343,380.68/698.54
  6. Step 6: Final answer
    x = 491.57

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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.