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Finding the Fourth Proportional to 633.78, 874.50 and 385.05

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Solution

The fourth proportional to 633.78, 874.50 and 385.05 is: 531.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.78 : 874.50 = 385.05 : x
  2. Step 2: Convert to fraction form
    633.78/874.50 = 385.05/x
  3. Step 3: Cross multiply
    633.78x = 874.50 × 385.05
  4. Step 4: Simplify right side
    633.78x = 336,726.23
  5. Step 5: Solve for x
    x = 336,726.23/633.78
  6. Step 6: Final answer
    x = 531.30

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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.