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Finding the Fourth Proportional to 644.90, 890.02 and 396.24

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Solution

The fourth proportional to 644.90, 890.02 and 396.24 is: 546.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.90 : 890.02 = 396.24 : x
  2. Step 2: Convert to fraction form
    644.90/890.02 = 396.24/x
  3. Step 3: Cross multiply
    644.90x = 890.02 × 396.24
  4. Step 4: Simplify right side
    644.90x = 352,661.52
  5. Step 5: Solve for x
    x = 352,661.52/644.90
  6. Step 6: Final answer
    x = 546.85

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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.