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Finding the Fourth Proportional to 857.99, 1,287.66 and 447.26

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Solution

The fourth proportional to 857.99, 1,287.66 and 447.26 is: 671.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.99 : 1,287.66 = 447.26 : x
  2. Step 2: Convert to fraction form
    857.99/1,287.66 = 447.26/x
  3. Step 3: Cross multiply
    857.99x = 1,287.66 × 447.26
  4. Step 4: Simplify right side
    857.99x = 575,914.05
  5. Step 5: Solve for x
    x = 575,914.05/857.99
  6. Step 6: Final answer
    x = 671.23

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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.