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Finding the Fourth Proportional to 858.57, 1,287.18 and 441.42

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Solution

The fourth proportional to 858.57, 1,287.18 and 441.42 is: 661.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.57 : 1,287.18 = 441.42 : x
  2. Step 2: Convert to fraction form
    858.57/1,287.18 = 441.42/x
  3. Step 3: Cross multiply
    858.57x = 1,287.18 × 441.42
  4. Step 4: Simplify right side
    858.57x = 568,187.00
  5. Step 5: Solve for x
    x = 568,187.00/858.57
  6. Step 6: Final answer
    x = 661.78

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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.