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Finding the Fourth Proportional to 892.19, 1,336.41 and 565.94

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Solution

The fourth proportional to 892.19, 1,336.41 and 565.94 is: 847.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.19 : 1,336.41 = 565.94 : x
  2. Step 2: Convert to fraction form
    892.19/1,336.41 = 565.94/x
  3. Step 3: Cross multiply
    892.19x = 1,336.41 × 565.94
  4. Step 4: Simplify right side
    892.19x = 756,321.19
  5. Step 5: Solve for x
    x = 756,321.19/892.19
  6. Step 6: Final answer
    x = 847.72

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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.