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Finding the Fourth Proportional to 728.42, 1,093.52 and 338.80

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Solution

The fourth proportional to 728.42, 1,093.52 and 338.80 is: 508.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.42 : 1,093.52 = 338.80 : x
  2. Step 2: Convert to fraction form
    728.42/1,093.52 = 338.80/x
  3. Step 3: Cross multiply
    728.42x = 1,093.52 × 338.80
  4. Step 4: Simplify right side
    728.42x = 370,484.58
  5. Step 5: Solve for x
    x = 370,484.58/728.42
  6. Step 6: Final answer
    x = 508.61

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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.