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Finding the Fourth Proportional to 708.68, 1,063.26 and 343.67

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Solution

The fourth proportional to 708.68, 1,063.26 and 343.67 is: 515.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.68 : 1,063.26 = 343.67 : x
  2. Step 2: Convert to fraction form
    708.68/1,063.26 = 343.67/x
  3. Step 3: Cross multiply
    708.68x = 1,063.26 × 343.67
  4. Step 4: Simplify right side
    708.68x = 365,405.25
  5. Step 5: Solve for x
    x = 365,405.25/708.68
  6. Step 6: Final answer
    x = 515.61

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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.