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Finding the Fourth Proportional to 928.50, 1,392.42 and 408.35

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Solution

The fourth proportional to 928.50, 1,392.42 and 408.35 is: 612.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.50 : 1,392.42 = 408.35 : x
  2. Step 2: Convert to fraction form
    928.50/1,392.42 = 408.35/x
  3. Step 3: Cross multiply
    928.50x = 1,392.42 × 408.35
  4. Step 4: Simplify right side
    928.50x = 568,594.71
  5. Step 5: Solve for x
    x = 568,594.71/928.50
  6. Step 6: Final answer
    x = 612.38

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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.