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Finding the Fourth Proportional to 964.64, 1,447 and 261.84

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Solution

The fourth proportional to 964.64, 1,447 and 261.84 is: 392.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.64 : 1,447 = 261.84 : x
  2. Step 2: Convert to fraction form
    964.64/1,447 = 261.84/x
  3. Step 3: Cross multiply
    964.64x = 1,447 × 261.84
  4. Step 4: Simplify right side
    964.64x = 378,882.48
  5. Step 5: Solve for x
    x = 378,882.48/964.64
  6. Step 6: Final answer
    x = 392.77

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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.