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Finding the Fourth Proportional to 644.05, 889.52 and 433.86

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Solution

The fourth proportional to 644.05, 889.52 and 433.86 is: 599.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.05 : 889.52 = 433.86 : x
  2. Step 2: Convert to fraction form
    644.05/889.52 = 433.86/x
  3. Step 3: Cross multiply
    644.05x = 889.52 × 433.86
  4. Step 4: Simplify right side
    644.05x = 385,924.14
  5. Step 5: Solve for x
    x = 385,924.14/644.05
  6. Step 6: Final answer
    x = 599.21

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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.