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Finding the Fourth Proportional to 634.01, 874.85 and 385.20

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Solution

The fourth proportional to 634.01, 874.85 and 385.20 is: 531.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.01 : 874.85 = 385.20 : x
  2. Step 2: Convert to fraction form
    634.01/874.85 = 385.20/x
  3. Step 3: Cross multiply
    634.01x = 874.85 × 385.20
  4. Step 4: Simplify right side
    634.01x = 336,990.29
  5. Step 5: Solve for x
    x = 336,990.29/634.01
  6. Step 6: Final answer
    x = 531.53

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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.