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Finding the Fourth Proportional to 967.38, 1,448.37 and 642.30

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Solution

The fourth proportional to 967.38, 1,448.37 and 642.30 is: 961.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.38 : 1,448.37 = 642.30 : x
  2. Step 2: Convert to fraction form
    967.38/1,448.37 = 642.30/x
  3. Step 3: Cross multiply
    967.38x = 1,448.37 × 642.30
  4. Step 4: Simplify right side
    967.38x = 930,288.05
  5. Step 5: Solve for x
    x = 930,288.05/967.38
  6. Step 6: Final answer
    x = 961.66

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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.