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Finding the Fourth Proportional to 892.12, 1,336.98 and 526.84

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Solution

The fourth proportional to 892.12, 1,336.98 and 526.84 is: 789.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.12 : 1,336.98 = 526.84 : x
  2. Step 2: Convert to fraction form
    892.12/1,336.98 = 526.84/x
  3. Step 3: Cross multiply
    892.12x = 1,336.98 × 526.84
  4. Step 4: Simplify right side
    892.12x = 704,374.54
  5. Step 5: Solve for x
    x = 704,374.54/892.12
  6. Step 6: Final answer
    x = 789.55

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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.