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Finding the Fourth Proportional to 928.62, 1,393.32 and 408.36

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Solution

The fourth proportional to 928.62, 1,393.32 and 408.36 is: 612.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.62 : 1,393.32 = 408.36 : x
  2. Step 2: Convert to fraction form
    928.62/1,393.32 = 408.36/x
  3. Step 3: Cross multiply
    928.62x = 1,393.32 × 408.36
  4. Step 4: Simplify right side
    928.62x = 568,976.16
  5. Step 5: Solve for x
    x = 568,976.16/928.62
  6. Step 6: Final answer
    x = 612.71

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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.