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Finding the Fourth Proportional to 435.73, 644.47 and 435.73

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Solution

The fourth proportional to 435.73, 644.47 and 435.73 is: 644.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.73 : 644.47 = 435.73 : x
  2. Step 2: Convert to fraction form
    435.73/644.47 = 435.73/x
  3. Step 3: Cross multiply
    435.73x = 644.47 × 435.73
  4. Step 4: Simplify right side
    435.73x = 280,814.91
  5. Step 5: Solve for x
    x = 280,814.91/435.73
  6. Step 6: Final answer
    x = 644.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.