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Finding the Fourth Proportional to 728.06, 1,091.52 and 289.04

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Solution

The fourth proportional to 728.06, 1,091.52 and 289.04 is: 433.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.06 : 1,091.52 = 289.04 : x
  2. Step 2: Convert to fraction form
    728.06/1,091.52 = 289.04/x
  3. Step 3: Cross multiply
    728.06x = 1,091.52 × 289.04
  4. Step 4: Simplify right side
    728.06x = 315,487.48
  5. Step 5: Solve for x
    x = 315,487.48/728.06
  6. Step 6: Final answer
    x = 433.33

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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.