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Finding the Fourth Proportional to 950.38, 1,428.08 and 511.96

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Solution

The fourth proportional to 950.38, 1,428.08 and 511.96 is: 769.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.38 : 1,428.08 = 511.96 : x
  2. Step 2: Convert to fraction form
    950.38/1,428.08 = 511.96/x
  3. Step 3: Cross multiply
    950.38x = 1,428.08 × 511.96
  4. Step 4: Simplify right side
    950.38x = 731,110.14
  5. Step 5: Solve for x
    x = 731,110.14/950.38
  6. Step 6: Final answer
    x = 769.28

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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.