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Finding the Fourth Proportional to 800.53, 1,198 and 553.99

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Solution

The fourth proportional to 800.53, 1,198 and 553.99 is: 829.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.53 : 1,198 = 553.99 : x
  2. Step 2: Convert to fraction form
    800.53/1,198 = 553.99/x
  3. Step 3: Cross multiply
    800.53x = 1,198 × 553.99
  4. Step 4: Simplify right side
    800.53x = 663,680.02
  5. Step 5: Solve for x
    x = 663,680.02/800.53
  6. Step 6: Final answer
    x = 829.05

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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.