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Finding the Fourth Proportional to 986.56, 1,480.44 and 548.14

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Solution

The fourth proportional to 986.56, 1,480.44 and 548.14 is: 822.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.56 : 1,480.44 = 548.14 : x
  2. Step 2: Convert to fraction form
    986.56/1,480.44 = 548.14/x
  3. Step 3: Cross multiply
    986.56x = 1,480.44 × 548.14
  4. Step 4: Simplify right side
    986.56x = 811,488.38
  5. Step 5: Solve for x
    x = 811,488.38/986.56
  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.