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Finding the Fourth Proportional to 834.05, 1,152.09 and 639.96

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Solution

The fourth proportional to 834.05, 1,152.09 and 639.96 is: 883.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.05 : 1,152.09 = 639.96 : x
  2. Step 2: Convert to fraction form
    834.05/1,152.09 = 639.96/x
  3. Step 3: Cross multiply
    834.05x = 1,152.09 × 639.96
  4. Step 4: Simplify right side
    834.05x = 737,288.32
  5. Step 5: Solve for x
    x = 737,288.32/834.05
  6. Step 6: Final answer
    x = 883.99

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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.