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Finding the Fourth Proportional to 834.11, 1,152.17 and 640.02

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Solution

The fourth proportional to 834.11, 1,152.17 and 640.02 is: 884.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.11 : 1,152.17 = 640.02 : x
  2. Step 2: Convert to fraction form
    834.11/1,152.17 = 640.02/x
  3. Step 3: Cross multiply
    834.11x = 1,152.17 × 640.02
  4. Step 4: Simplify right side
    834.11x = 737,413.44
  5. Step 5: Solve for x
    x = 737,413.44/834.11
  6. Step 6: Final answer
    x = 884.07

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Why These Related Problems?

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