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Finding the Fourth Proportional to 728.88, 1,091.88 and 343.68

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Solution

The fourth proportional to 728.88, 1,091.88 and 343.68 is: 514.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.88 : 1,091.88 = 343.68 : x
  2. Step 2: Convert to fraction form
    728.88/1,091.88 = 343.68/x
  3. Step 3: Cross multiply
    728.88x = 1,091.88 × 343.68
  4. Step 4: Simplify right side
    728.88x = 375,257.32
  5. Step 5: Solve for x
    x = 375,257.32/728.88
  6. Step 6: Final answer
    x = 514.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.