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Finding the Fourth Proportional to 644.77, 965.73 and 400.78

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Solution

The fourth proportional to 644.77, 965.73 and 400.78 is: 600.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.77 : 965.73 = 400.78 : x
  2. Step 2: Convert to fraction form
    644.77/965.73 = 400.78/x
  3. Step 3: Cross multiply
    644.77x = 965.73 × 400.78
  4. Step 4: Simplify right side
    644.77x = 387,040.44
  5. Step 5: Solve for x
    x = 387,040.44/644.77
  6. Step 6: Final answer
    x = 600.28

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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.