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Finding the Fourth Proportional to 892.84, 1,339.12 and 344.95

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Solution

The fourth proportional to 892.84, 1,339.12 and 344.95 is: 517.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.84 : 1,339.12 = 344.95 : x
  2. Step 2: Convert to fraction form
    892.84/1,339.12 = 344.95/x
  3. Step 3: Cross multiply
    892.84x = 1,339.12 × 344.95
  4. Step 4: Simplify right side
    892.84x = 461,930.31
  5. Step 5: Solve for x
    x = 461,930.31/892.84
  6. Step 6: Final answer
    x = 517.37

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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.