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Finding the Fourth Proportional to 633.62, 873.96 and 397.34

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Solution

The fourth proportional to 633.62, 873.96 and 397.34 is: 548.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.62 : 873.96 = 397.34 : x
  2. Step 2: Convert to fraction form
    633.62/873.96 = 397.34/x
  3. Step 3: Cross multiply
    633.62x = 873.96 × 397.34
  4. Step 4: Simplify right side
    633.62x = 347,259.27
  5. Step 5: Solve for x
    x = 347,259.27/633.62
  6. Step 6: Final answer
    x = 548.06

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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.