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Finding the Fourth Proportional to 698.68, 1,047.66 and 236.44

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Solution

The fourth proportional to 698.68, 1,047.66 and 236.44 is: 354.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.68 : 1,047.66 = 236.44 : x
  2. Step 2: Convert to fraction form
    698.68/1,047.66 = 236.44/x
  3. Step 3: Cross multiply
    698.68x = 1,047.66 × 236.44
  4. Step 4: Simplify right side
    698.68x = 247,708.73
  5. Step 5: Solve for x
    x = 247,708.73/698.68
  6. Step 6: Final answer
    x = 354.54

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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.