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Finding the Fourth Proportional to 641.94, 964.75 and 426.88

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Solution

The fourth proportional to 641.94, 964.75 and 426.88 is: 641.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.94 : 964.75 = 426.88 : x
  2. Step 2: Convert to fraction form
    641.94/964.75 = 426.88/x
  3. Step 3: Cross multiply
    641.94x = 964.75 × 426.88
  4. Step 4: Simplify right side
    641.94x = 411,832.48
  5. Step 5: Solve for x
    x = 411,832.48/641.94
  6. Step 6: Final answer
    x = 641.54

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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.