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Finding the Fourth Proportional to 952.91, 1,428.68 and 367.41

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Solution

The fourth proportional to 952.91, 1,428.68 and 367.41 is: 550.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.91 : 1,428.68 = 367.41 : x
  2. Step 2: Convert to fraction form
    952.91/1,428.68 = 367.41/x
  3. Step 3: Cross multiply
    952.91x = 1,428.68 × 367.41
  4. Step 4: Simplify right side
    952.91x = 524,912.24
  5. Step 5: Solve for x
    x = 524,912.24/952.91
  6. Step 6: Final answer
    x = 550.85

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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.