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Finding the Fourth Proportional to 701.28, 1,051.92 and 408.96

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Solution

The fourth proportional to 701.28, 1,051.92 and 408.96 is: 613.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.28 : 1,051.92 = 408.96 : x
  2. Step 2: Convert to fraction form
    701.28/1,051.92 = 408.96/x
  3. Step 3: Cross multiply
    701.28x = 1,051.92 × 408.96
  4. Step 4: Simplify right side
    701.28x = 430,193.20
  5. Step 5: Solve for x
    x = 430,193.20/701.28
  6. Step 6: Final answer
    x = 613.44

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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.