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Finding the Fourth Proportional to 728.72, 1,092.76 and 343.76

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Solution

The fourth proportional to 728.72, 1,092.76 and 343.76 is: 515.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.72 : 1,092.76 = 343.76 : x
  2. Step 2: Convert to fraction form
    728.72/1,092.76 = 343.76/x
  3. Step 3: Cross multiply
    728.72x = 1,092.76 × 343.76
  4. Step 4: Simplify right side
    728.72x = 375,647.18
  5. Step 5: Solve for x
    x = 375,647.18/728.72
  6. Step 6: Final answer
    x = 515.49

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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.