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Finding the Fourth Proportional to 892.11, 1,336.50 and 525.81

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Solution

The fourth proportional to 892.11, 1,336.50 and 525.81 is: 787.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.11 : 1,336.50 = 525.81 : x
  2. Step 2: Convert to fraction form
    892.11/1,336.50 = 525.81/x
  3. Step 3: Cross multiply
    892.11x = 1,336.50 × 525.81
  4. Step 4: Simplify right side
    892.11x = 702,745.07
  5. Step 5: Solve for x
    x = 702,745.07/892.11
  6. Step 6: Final answer
    x = 787.73

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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.