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Finding the Fourth Proportional to 633.34, 874.33 and 397.63

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Solution

The fourth proportional to 633.34, 874.33 and 397.63 is: 548.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.34 : 874.33 = 397.63 : x
  2. Step 2: Convert to fraction form
    633.34/874.33 = 397.63/x
  3. Step 3: Cross multiply
    633.34x = 874.33 × 397.63
  4. Step 4: Simplify right side
    633.34x = 347,664.63
  5. Step 5: Solve for x
    x = 347,664.63/633.34
  6. Step 6: Final answer
    x = 548.93

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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.