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Finding the Fourth Proportional to 644.45, 968.00 and 521.18

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Solution

The fourth proportional to 644.45, 968.00 and 521.18 is: 782.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.45 : 968.00 = 521.18 : x
  2. Step 2: Convert to fraction form
    644.45/968.00 = 521.18/x
  3. Step 3: Cross multiply
    644.45x = 968.00 × 521.18
  4. Step 4: Simplify right side
    644.45x = 504,505.96
  5. Step 5: Solve for x
    x = 504,505.96/644.45
  6. Step 6: Final answer
    x = 782.85

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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.