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Finding the Fourth Proportional to 644.75, 889.34 and 562.05

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Solution

The fourth proportional to 644.75, 889.34 and 562.05 is: 775.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.75 : 889.34 = 562.05 : x
  2. Step 2: Convert to fraction form
    644.75/889.34 = 562.05/x
  3. Step 3: Cross multiply
    644.75x = 889.34 × 562.05
  4. Step 4: Simplify right side
    644.75x = 499,853.55
  5. Step 5: Solve for x
    x = 499,853.55/644.75
  6. Step 6: Final answer
    x = 775.27

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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.