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Finding the Fourth Proportional to 644.49, 965.21 and 521.46

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Solution

The fourth proportional to 644.49, 965.21 and 521.46 is: 780.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.49 : 965.21 = 521.46 : x
  2. Step 2: Convert to fraction form
    644.49/965.21 = 521.46/x
  3. Step 3: Cross multiply
    644.49x = 965.21 × 521.46
  4. Step 4: Simplify right side
    644.49x = 503,315.80
  5. Step 5: Solve for x
    x = 503,315.80/644.49
  6. Step 6: Final answer
    x = 780.95

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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.