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Finding the Fourth Proportional to 1,335.53, 1,842.23 and 863.27

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Solution

The fourth proportional to 1,335.53, 1,842.23 and 863.27 is: 1,190.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.53 : 1,842.23 = 863.27 : x
  2. Step 2: Convert to fraction form
    1,335.53/1,842.23 = 863.27/x
  3. Step 3: Cross multiply
    1,335.53x = 1,842.23 × 863.27
  4. Step 4: Simplify right side
    1,335.53x = 1,590,334.84
  5. Step 5: Solve for x
    x = 1,590,334.84/1,335.53
  6. Step 6: Final answer
    x = 1,190.79

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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.