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Finding the Fourth Proportional to 643.76, 965.92 and 458.88

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Solution

The fourth proportional to 643.76, 965.92 and 458.88 is: 688.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.76 : 965.92 = 458.88 : x
  2. Step 2: Convert to fraction form
    643.76/965.92 = 458.88/x
  3. Step 3: Cross multiply
    643.76x = 965.92 × 458.88
  4. Step 4: Simplify right side
    643.76x = 443,241.37
  5. Step 5: Solve for x
    x = 443,241.37/643.76
  6. Step 6: Final answer
    x = 688.52

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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.