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Finding the Fourth Proportional to 728.19, 1,091.07 and 403.38

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Solution

The fourth proportional to 728.19, 1,091.07 and 403.38 is: 604.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.19 : 1,091.07 = 403.38 : x
  2. Step 2: Convert to fraction form
    728.19/1,091.07 = 403.38/x
  3. Step 3: Cross multiply
    728.19x = 1,091.07 × 403.38
  4. Step 4: Simplify right side
    728.19x = 440,115.82
  5. Step 5: Solve for x
    x = 440,115.82/728.19
  6. Step 6: Final answer
    x = 604.40

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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.