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Finding the Fourth Proportional to 709.31, 1,063.21 and 343.29

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Solution

The fourth proportional to 709.31, 1,063.21 and 343.29 is: 514.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.31 : 1,063.21 = 343.29 : x
  2. Step 2: Convert to fraction form
    709.31/1,063.21 = 343.29/x
  3. Step 3: Cross multiply
    709.31x = 1,063.21 × 343.29
  4. Step 4: Simplify right side
    709.31x = 364,992.49
  5. Step 5: Solve for x
    x = 364,992.49/709.31
  6. Step 6: Final answer
    x = 514.57

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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.