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Finding the Fourth Proportional to 1,049.42, 1,447.49 and 800.19

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Solution

The fourth proportional to 1,049.42, 1,447.49 and 800.19 is: 1,103.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.42 : 1,447.49 = 800.19 : x
  2. Step 2: Convert to fraction form
    1,049.42/1,447.49 = 800.19/x
  3. Step 3: Cross multiply
    1,049.42x = 1,447.49 × 800.19
  4. Step 4: Simplify right side
    1,049.42x = 1,158,269.02
  5. Step 5: Solve for x
    x = 1,158,269.02/1,049.42
  6. Step 6: Final answer
    x = 1,103.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.