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Finding the Fourth Proportional to 1,016.80, 1,524.15 and 553.60

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Solution

The fourth proportional to 1,016.80, 1,524.15 and 553.60 is: 829.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.80 : 1,524.15 = 553.60 : x
  2. Step 2: Convert to fraction form
    1,016.80/1,524.15 = 553.60/x
  3. Step 3: Cross multiply
    1,016.80x = 1,524.15 × 553.60
  4. Step 4: Simplify right side
    1,016.80x = 843,769.44
  5. Step 5: Solve for x
    x = 843,769.44/1,016.80
  6. Step 6: Final answer
    x = 829.83

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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.