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Finding the Fourth Proportional to 728.76, 1,093.28 and 235.19

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Solution

The fourth proportional to 728.76, 1,093.28 and 235.19 is: 352.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.76 : 1,093.28 = 235.19 : x
  2. Step 2: Convert to fraction form
    728.76/1,093.28 = 235.19/x
  3. Step 3: Cross multiply
    728.76x = 1,093.28 × 235.19
  4. Step 4: Simplify right side
    728.76x = 257,121.88
  5. Step 5: Solve for x
    x = 257,121.88/728.76
  6. Step 6: Final answer
    x = 352.82

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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.