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Finding the Fourth Proportional to 641.94, 963.18 and 458.88

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Solution

The fourth proportional to 641.94, 963.18 and 458.88 is: 688.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.94 : 963.18 = 458.88 : x
  2. Step 2: Convert to fraction form
    641.94/963.18 = 458.88/x
  3. Step 3: Cross multiply
    641.94x = 963.18 × 458.88
  4. Step 4: Simplify right side
    641.94x = 441,984.04
  5. Step 5: Solve for x
    x = 441,984.04/641.94
  6. Step 6: Final answer
    x = 688.51

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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.