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Finding the Fourth Proportional to 949.38, 1,424.61 and 333.23

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Solution

The fourth proportional to 949.38, 1,424.61 and 333.23 is: 500.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.38 : 1,424.61 = 333.23 : x
  2. Step 2: Convert to fraction form
    949.38/1,424.61 = 333.23/x
  3. Step 3: Cross multiply
    949.38x = 1,424.61 × 333.23
  4. Step 4: Simplify right side
    949.38x = 474,715.67
  5. Step 5: Solve for x
    x = 474,715.67/949.38
  6. Step 6: Final answer
    x = 500.03

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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.