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Finding the Fourth Proportional to 843.89, 1,164.11 and 563.63

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Solution

The fourth proportional to 843.89, 1,164.11 and 563.63 is: 777.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.89 : 1,164.11 = 563.63 : x
  2. Step 2: Convert to fraction form
    843.89/1,164.11 = 563.63/x
  3. Step 3: Cross multiply
    843.89x = 1,164.11 × 563.63
  4. Step 4: Simplify right side
    843.89x = 656,118.68
  5. Step 5: Solve for x
    x = 656,118.68/843.89
  6. Step 6: Final answer
    x = 777.50

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1.5x scale

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.