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Finding the Fourth Proportional to 709.87, 1,065.26 and 344.46

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Solution

The fourth proportional to 709.87, 1,065.26 and 344.46 is: 516.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.87 : 1,065.26 = 344.46 : x
  2. Step 2: Convert to fraction form
    709.87/1,065.26 = 344.46/x
  3. Step 3: Cross multiply
    709.87x = 1,065.26 × 344.46
  4. Step 4: Simplify right side
    709.87x = 366,940.82
  5. Step 5: Solve for x
    x = 366,940.82/709.87
  6. Step 6: Final answer
    x = 516.91

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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.