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Finding the Fourth Proportional to 633.93, 874.19 and 412.49

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Solution

The fourth proportional to 633.93, 874.19 and 412.49 is: 568.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.93 : 874.19 = 412.49 : x
  2. Step 2: Convert to fraction form
    633.93/874.19 = 412.49/x
  3. Step 3: Cross multiply
    633.93x = 874.19 × 412.49
  4. Step 4: Simplify right side
    633.93x = 360,597.85
  5. Step 5: Solve for x
    x = 360,597.85/633.93
  6. Step 6: Final answer
    x = 568.83

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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.