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Finding the Fourth Proportional to 1,336.04, 1,842.92 and 863.77

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Solution

The fourth proportional to 1,336.04, 1,842.92 and 863.77 is: 1,191.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.04 : 1,842.92 = 863.77 : x
  2. Step 2: Convert to fraction form
    1,336.04/1,842.92 = 863.77/x
  3. Step 3: Cross multiply
    1,336.04x = 1,842.92 × 863.77
  4. Step 4: Simplify right side
    1,336.04x = 1,591,849.79
  5. Step 5: Solve for x
    x = 1,591,849.79/1,336.04
  6. Step 6: Final answer
    x = 1,191.47

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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.