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Finding the Fourth Proportional to 857.94, 1,183.26 and 747.23

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Solution

The fourth proportional to 857.94, 1,183.26 and 747.23 is: 1,030.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.94 : 1,183.26 = 747.23 : x
  2. Step 2: Convert to fraction form
    857.94/1,183.26 = 747.23/x
  3. Step 3: Cross multiply
    857.94x = 1,183.26 × 747.23
  4. Step 4: Simplify right side
    857.94x = 884,160.05
  5. Step 5: Solve for x
    x = 884,160.05/857.94
  6. Step 6: Final answer
    x = 1,030.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.