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Finding the Fourth Proportional to 633.94, 874.59 and 397.75

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Solution

The fourth proportional to 633.94, 874.59 and 397.75 is: 548.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.94 : 874.59 = 397.75 : x
  2. Step 2: Convert to fraction form
    633.94/874.59 = 397.75/x
  3. Step 3: Cross multiply
    633.94x = 874.59 × 397.75
  4. Step 4: Simplify right side
    633.94x = 347,868.17
  5. Step 5: Solve for x
    x = 347,868.17/633.94
  6. Step 6: Final answer
    x = 548.74

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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.