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Finding the Fourth Proportional to 709.22, 1,062.41 and 563.22

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Solution

The fourth proportional to 709.22, 1,062.41 and 563.22 is: 843.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.22 : 1,062.41 = 563.22 : x
  2. Step 2: Convert to fraction form
    709.22/1,062.41 = 563.22/x
  3. Step 3: Cross multiply
    709.22x = 1,062.41 × 563.22
  4. Step 4: Simplify right side
    709.22x = 598,362.43
  5. Step 5: Solve for x
    x = 598,362.43/709.22
  6. Step 6: Final answer
    x = 843.70

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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.