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Finding the Fourth Proportional to 952.92, 1,426.41 and 645.12

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Solution

The fourth proportional to 952.92, 1,426.41 and 645.12 is: 965.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.92 : 1,426.41 = 645.12 : x
  2. Step 2: Convert to fraction form
    952.92/1,426.41 = 645.12/x
  3. Step 3: Cross multiply
    952.92x = 1,426.41 × 645.12
  4. Step 4: Simplify right side
    952.92x = 920,205.62
  5. Step 5: Solve for x
    x = 920,205.62/952.92
  6. Step 6: Final answer
    x = 965.67

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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.