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Finding the Fourth Proportional to 892.43, 1,338.47 and 405.36

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Solution

The fourth proportional to 892.43, 1,338.47 and 405.36 is: 607.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.43 : 1,338.47 = 405.36 : x
  2. Step 2: Convert to fraction form
    892.43/1,338.47 = 405.36/x
  3. Step 3: Cross multiply
    892.43x = 1,338.47 × 405.36
  4. Step 4: Simplify right side
    892.43x = 542,560.17
  5. Step 5: Solve for x
    x = 542,560.17/892.43
  6. Step 6: Final answer
    x = 607.96

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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.