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Finding the Fourth Proportional to 633.54, 874.19 and 423.39

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Solution

The fourth proportional to 633.54, 874.19 and 423.39 is: 584.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.54 : 874.19 = 423.39 : x
  2. Step 2: Convert to fraction form
    633.54/874.19 = 423.39/x
  3. Step 3: Cross multiply
    633.54x = 874.19 × 423.39
  4. Step 4: Simplify right side
    633.54x = 370,121.19
  5. Step 5: Solve for x
    x = 370,121.19/633.54
  6. Step 6: Final answer
    x = 584.21

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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.