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Finding the Fourth Proportional to 643.26, 964.71 and 439.14

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Solution

The fourth proportional to 643.26, 964.71 and 439.14 is: 658.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.26 : 964.71 = 439.14 : x
  2. Step 2: Convert to fraction form
    643.26/964.71 = 439.14/x
  3. Step 3: Cross multiply
    643.26x = 964.71 × 439.14
  4. Step 4: Simplify right side
    643.26x = 423,642.75
  5. Step 5: Solve for x
    x = 423,642.75/643.26
  6. Step 6: Final answer
    x = 658.59

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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.