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Finding the Fourth Proportional to 728.67, 1,093.33 and 338.77

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Solution

The fourth proportional to 728.67, 1,093.33 and 338.77 is: 508.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.67 : 1,093.33 = 338.77 : x
  2. Step 2: Convert to fraction form
    728.67/1,093.33 = 338.77/x
  3. Step 3: Cross multiply
    728.67x = 1,093.33 × 338.77
  4. Step 4: Simplify right side
    728.67x = 370,387.40
  5. Step 5: Solve for x
    x = 370,387.40/728.67
  6. Step 6: Final answer
    x = 508.31

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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.