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Finding the Fourth Proportional to 964.38, 1,446.57 and 280.38

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Solution

The fourth proportional to 964.38, 1,446.57 and 280.38 is: 420.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.38 : 1,446.57 = 280.38 : x
  2. Step 2: Convert to fraction form
    964.38/1,446.57 = 280.38/x
  3. Step 3: Cross multiply
    964.38x = 1,446.57 × 280.38
  4. Step 4: Simplify right side
    964.38x = 405,580.66
  5. Step 5: Solve for x
    x = 405,580.66/964.38
  6. Step 6: Final answer
    x = 420.56

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1.5x scale

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.