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Finding the Fourth Proportional to 680, 1,019.72 and 333.06

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Solution

The fourth proportional to 680, 1,019.72 and 333.06 is: 499.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    680 : 1,019.72 = 333.06 : x
  2. Step 2: Convert to fraction form
    680/1,019.72 = 333.06/x
  3. Step 3: Cross multiply
    680x = 1,019.72 × 333.06
  4. Step 4: Simplify right side
    680x = 339,627.94
  5. Step 5: Solve for x
    x = 339,627.94/680
  6. Step 6: Final answer
    x = 499.45

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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.