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Finding the Fourth Proportional to 698.82, 1,048.38 and 236.62

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Solution

The fourth proportional to 698.82, 1,048.38 and 236.62 is: 354.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.82 : 1,048.38 = 236.62 : x
  2. Step 2: Convert to fraction form
    698.82/1,048.38 = 236.62/x
  3. Step 3: Cross multiply
    698.82x = 1,048.38 × 236.62
  4. Step 4: Simplify right side
    698.82x = 248,067.68
  5. Step 5: Solve for x
    x = 248,067.68/698.82
  6. Step 6: Final answer
    x = 354.98

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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.