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Finding the Fourth Proportional to 1,191.86, 1,645.22 and 798.74

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Solution

The fourth proportional to 1,191.86, 1,645.22 and 798.74 is: 1,102.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.86 : 1,645.22 = 798.74 : x
  2. Step 2: Convert to fraction form
    1,191.86/1,645.22 = 798.74/x
  3. Step 3: Cross multiply
    1,191.86x = 1,645.22 × 798.74
  4. Step 4: Simplify right side
    1,191.86x = 1,314,103.02
  5. Step 5: Solve for x
    x = 1,314,103.02/1,191.86
  6. Step 6: Final answer
    x = 1,102.56

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1.5x scale

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.