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Finding the Fourth Proportional to 644.60, 965.28 and 553.88

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Solution

The fourth proportional to 644.60, 965.28 and 553.88 is: 829.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.60 : 965.28 = 553.88 : x
  2. Step 2: Convert to fraction form
    644.60/965.28 = 553.88/x
  3. Step 3: Cross multiply
    644.60x = 965.28 × 553.88
  4. Step 4: Simplify right side
    644.60x = 534,649.29
  5. Step 5: Solve for x
    x = 534,649.29/644.60
  6. Step 6: Final answer
    x = 829.43

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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.