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Finding the Fourth Proportional to 928.50, 1,280.97 and 613.92

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Solution

The fourth proportional to 928.50, 1,280.97 and 613.92 is: 846.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.50 : 1,280.97 = 613.92 : x
  2. Step 2: Convert to fraction form
    928.50/1,280.97 = 613.92/x
  3. Step 3: Cross multiply
    928.50x = 1,280.97 × 613.92
  4. Step 4: Simplify right side
    928.50x = 786,413.10
  5. Step 5: Solve for x
    x = 786,413.10/928.50
  6. Step 6: Final answer
    x = 846.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.