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Finding the Fourth Proportional to 1,328.61, 1,992.85 and 548.38

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Solution

The fourth proportional to 1,328.61, 1,992.85 and 548.38 is: 822.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.61 : 1,992.85 = 548.38 : x
  2. Step 2: Convert to fraction form
    1,328.61/1,992.85 = 548.38/x
  3. Step 3: Cross multiply
    1,328.61x = 1,992.85 × 548.38
  4. Step 4: Simplify right side
    1,328.61x = 1,092,832.73
  5. Step 5: Solve for x
    x = 1,092,832.73/1,328.61
  6. Step 6: Final answer
    x = 822.54

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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.