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Finding the Fourth Proportional to 858.57, 1,287.89 and 727.35

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Solution

The fourth proportional to 858.57, 1,287.89 and 727.35 is: 1,091.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.57 : 1,287.89 = 727.35 : x
  2. Step 2: Convert to fraction form
    858.57/1,287.89 = 727.35/x
  3. Step 3: Cross multiply
    858.57x = 1,287.89 × 727.35
  4. Step 4: Simplify right side
    858.57x = 936,743.15
  5. Step 5: Solve for x
    x = 936,743.15/858.57
  6. Step 6: Final answer
    x = 1,091.05

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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.