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Finding the Fourth Proportional to 825.35, 1,236.40 and 385.99

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Solution

The fourth proportional to 825.35, 1,236.40 and 385.99 is: 578.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.35 : 1,236.40 = 385.99 : x
  2. Step 2: Convert to fraction form
    825.35/1,236.40 = 385.99/x
  3. Step 3: Cross multiply
    825.35x = 1,236.40 × 385.99
  4. Step 4: Simplify right side
    825.35x = 477,233.98
  5. Step 5: Solve for x
    x = 477,233.98/825.35
  6. Step 6: Final answer
    x = 578.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.