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Finding the Fourth Proportional to 964.38, 1,446.77 and 387.25

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Solution

The fourth proportional to 964.38, 1,446.77 and 387.25 is: 580.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.38 : 1,446.77 = 387.25 : x
  2. Step 2: Convert to fraction form
    964.38/1,446.77 = 387.25/x
  3. Step 3: Cross multiply
    964.38x = 1,446.77 × 387.25
  4. Step 4: Simplify right side
    964.38x = 560,259.75
  5. Step 5: Solve for x
    x = 560,259.75/964.38
  6. Step 6: Final answer
    x = 580.96

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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.