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Finding the Fourth Proportional to 643.24, 964.87 and 156.29

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Solution

The fourth proportional to 643.24, 964.87 and 156.29 is: 234.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.24 : 964.87 = 156.29 : x
  2. Step 2: Convert to fraction form
    643.24/964.87 = 156.29/x
  3. Step 3: Cross multiply
    643.24x = 964.87 × 156.29
  4. Step 4: Simplify right side
    643.24x = 150,798.75
  5. Step 5: Solve for x
    x = 150,798.75/643.24
  6. Step 6: Final answer
    x = 234.44

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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.