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Finding the Fourth Proportional to 728.90, 1,091.83 and 574.09

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Solution

The fourth proportional to 728.90, 1,091.83 and 574.09 is: 859.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.90 : 1,091.83 = 574.09 : x
  2. Step 2: Convert to fraction form
    728.90/1,091.83 = 574.09/x
  3. Step 3: Cross multiply
    728.90x = 1,091.83 × 574.09
  4. Step 4: Simplify right side
    728.90x = 626,808.68
  5. Step 5: Solve for x
    x = 626,808.68/728.90
  6. Step 6: Final answer
    x = 859.94

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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.