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Finding the Fourth Proportional to 892.34, 1,338.85 and 344.91

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Solution

The fourth proportional to 892.34, 1,338.85 and 344.91 is: 517.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.34 : 1,338.85 = 344.91 : x
  2. Step 2: Convert to fraction form
    892.34/1,338.85 = 344.91/x
  3. Step 3: Cross multiply
    892.34x = 1,338.85 × 344.91
  4. Step 4: Simplify right side
    892.34x = 461,781.64
  5. Step 5: Solve for x
    x = 461,781.64/892.34
  6. Step 6: Final answer
    x = 517.49

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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.