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Finding the Fourth Proportional to 644.06, 889.58 and 557.80

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Solution

The fourth proportional to 644.06, 889.58 and 557.80 is: 770.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.06 : 889.58 = 557.80 : x
  2. Step 2: Convert to fraction form
    644.06/889.58 = 557.80/x
  3. Step 3: Cross multiply
    644.06x = 889.58 × 557.80
  4. Step 4: Simplify right side
    644.06x = 496,207.72
  5. Step 5: Solve for x
    x = 496,207.72/644.06
  6. Step 6: Final answer
    x = 770.44

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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.