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Finding the Fourth Proportional to 892.78, 1,338.47 and 546.28

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Solution

The fourth proportional to 892.78, 1,338.47 and 546.28 is: 818.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.78 : 1,338.47 = 546.28 : x
  2. Step 2: Convert to fraction form
    892.78/1,338.47 = 546.28/x
  3. Step 3: Cross multiply
    892.78x = 1,338.47 × 546.28
  4. Step 4: Simplify right side
    892.78x = 731,173.31
  5. Step 5: Solve for x
    x = 731,173.31/892.78
  6. Step 6: Final answer
    x = 818.99

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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.