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Finding the Fourth Proportional to 644.68, 889.77 and 382.78

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Solution

The fourth proportional to 644.68, 889.77 and 382.78 is: 528.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.68 : 889.77 = 382.78 : x
  2. Step 2: Convert to fraction form
    644.68/889.77 = 382.78/x
  3. Step 3: Cross multiply
    644.68x = 889.77 × 382.78
  4. Step 4: Simplify right side
    644.68x = 340,586.16
  5. Step 5: Solve for x
    x = 340,586.16/644.68
  6. Step 6: Final answer
    x = 528.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.