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Finding the Fourth Proportional to 825.11, 1,237.42 and 386.22

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Solution

The fourth proportional to 825.11, 1,237.42 and 386.22 is: 579.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.11 : 1,237.42 = 386.22 : x
  2. Step 2: Convert to fraction form
    825.11/1,237.42 = 386.22/x
  3. Step 3: Cross multiply
    825.11x = 1,237.42 × 386.22
  4. Step 4: Simplify right side
    825.11x = 477,916.35
  5. Step 5: Solve for x
    x = 477,916.35/825.11
  6. Step 6: Final answer
    x = 579.22

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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.