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Finding the Fourth Proportional to 835.64, 1,254.11 and 792.82

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Solution

The fourth proportional to 835.64, 1,254.11 and 792.82 is: 1,189.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.64 : 1,254.11 = 792.82 : x
  2. Step 2: Convert to fraction form
    835.64/1,254.11 = 792.82/x
  3. Step 3: Cross multiply
    835.64x = 1,254.11 × 792.82
  4. Step 4: Simplify right side
    835.64x = 994,283.49
  5. Step 5: Solve for x
    x = 994,283.49/835.64
  6. Step 6: Final answer
    x = 1,189.85

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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.