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Finding the Fourth Proportional to 892.85, 1,339.37 and 344.94

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Solution

The fourth proportional to 892.85, 1,339.37 and 344.94 is: 517.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.85 : 1,339.37 = 344.94 : x
  2. Step 2: Convert to fraction form
    892.85/1,339.37 = 344.94/x
  3. Step 3: Cross multiply
    892.85x = 1,339.37 × 344.94
  4. Step 4: Simplify right side
    892.85x = 462,000.56
  5. Step 5: Solve for x
    x = 462,000.56/892.85
  6. Step 6: Final answer
    x = 517.45

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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.