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Finding the Fourth Proportional to 928.77, 1,393.82 and 408.90

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Solution

The fourth proportional to 928.77, 1,393.82 and 408.90 is: 613.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.77 : 1,393.82 = 408.90 : x
  2. Step 2: Convert to fraction form
    928.77/1,393.82 = 408.90/x
  3. Step 3: Cross multiply
    928.77x = 1,393.82 × 408.90
  4. Step 4: Simplify right side
    928.77x = 569,930.95
  5. Step 5: Solve for x
    x = 569,930.95/928.77
  6. Step 6: Final answer
    x = 613.64

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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.