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Finding the Fourth Proportional to 644.82, 890.05 and 411.94

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Solution

The fourth proportional to 644.82, 890.05 and 411.94 is: 568.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.82 : 890.05 = 411.94 : x
  2. Step 2: Convert to fraction form
    644.82/890.05 = 411.94/x
  3. Step 3: Cross multiply
    644.82x = 890.05 × 411.94
  4. Step 4: Simplify right side
    644.82x = 366,647.20
  5. Step 5: Solve for x
    x = 366,647.20/644.82
  6. Step 6: Final answer
    x = 568.60

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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.