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Finding the Fourth Proportional to 633.73, 874.81 and 385.13

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Solution

The fourth proportional to 633.73, 874.81 and 385.13 is: 531.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.73 : 874.81 = 385.13 : x
  2. Step 2: Convert to fraction form
    633.73/874.81 = 385.13/x
  3. Step 3: Cross multiply
    633.73x = 874.81 × 385.13
  4. Step 4: Simplify right side
    633.73x = 336,911.68
  5. Step 5: Solve for x
    x = 336,911.68/633.73
  6. Step 6: Final answer
    x = 531.63

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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.