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Finding the Fourth Proportional to 862.33, 1,189.22 and 563.31

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Solution

The fourth proportional to 862.33, 1,189.22 and 563.31 is: 776.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.33 : 1,189.22 = 563.31 : x
  2. Step 2: Convert to fraction form
    862.33/1,189.22 = 563.31/x
  3. Step 3: Cross multiply
    862.33x = 1,189.22 × 563.31
  4. Step 4: Simplify right side
    862.33x = 669,899.52
  5. Step 5: Solve for x
    x = 669,899.52/862.33
  6. Step 6: Final answer
    x = 776.85

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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.