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Finding the Fourth Proportional to 836.76, 1,154.86 and 799.85

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Solution

The fourth proportional to 836.76, 1,154.86 and 799.85 is: 1,103.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.76 : 1,154.86 = 799.85 : x
  2. Step 2: Convert to fraction form
    836.76/1,154.86 = 799.85/x
  3. Step 3: Cross multiply
    836.76x = 1,154.86 × 799.85
  4. Step 4: Simplify right side
    836.76x = 923,711.44
  5. Step 5: Solve for x
    x = 923,711.44/836.76
  6. Step 6: Final answer
    x = 1,103.92

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1.5x scale

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.