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Finding the Fourth Proportional to 1,047.86, 1,447.97 and 798.74

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Solution

The fourth proportional to 1,047.86, 1,447.97 and 798.74 is: 1,103.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.86 : 1,447.97 = 798.74 : x
  2. Step 2: Convert to fraction form
    1,047.86/1,447.97 = 798.74/x
  3. Step 3: Cross multiply
    1,047.86x = 1,447.97 × 798.74
  4. Step 4: Simplify right side
    1,047.86x = 1,156,540.32
  5. Step 5: Solve for x
    x = 1,156,540.32/1,047.86
  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.