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Finding the Fourth Proportional to 892.48, 1,338 and 545.44

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Solution

The fourth proportional to 892.48, 1,338 and 545.44 is: 817.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.48 : 1,338 = 545.44 : x
  2. Step 2: Convert to fraction form
    892.48/1,338 = 545.44/x
  3. Step 3: Cross multiply
    892.48x = 1,338 × 545.44
  4. Step 4: Simplify right side
    892.48x = 729,798.72
  5. Step 5: Solve for x
    x = 729,798.72/892.48
  6. Step 6: Final answer
    x = 817.72

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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.