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Finding the Fourth Proportional to 633.73, 874.24 and 546.25

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Solution

The fourth proportional to 633.73, 874.24 and 546.25 is: 753.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.73 : 874.24 = 546.25 : x
  2. Step 2: Convert to fraction form
    633.73/874.24 = 546.25/x
  3. Step 3: Cross multiply
    633.73x = 874.24 × 546.25
  4. Step 4: Simplify right side
    633.73x = 477,553.60
  5. Step 5: Solve for x
    x = 477,553.60/633.73
  6. Step 6: Final answer
    x = 753.56

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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.