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Finding the Fourth Proportional to 689.87, 1,034.11 and 342.67

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Solution

The fourth proportional to 689.87, 1,034.11 and 342.67 is: 513.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.87 : 1,034.11 = 342.67 : x
  2. Step 2: Convert to fraction form
    689.87/1,034.11 = 342.67/x
  3. Step 3: Cross multiply
    689.87x = 1,034.11 × 342.67
  4. Step 4: Simplify right side
    689.87x = 354,351.59
  5. Step 5: Solve for x
    x = 354,351.59/689.87
  6. Step 6: Final answer
    x = 513.65

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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.