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Finding the Fourth Proportional to 825.72, 1,241.19 and 461.22

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Solution

The fourth proportional to 825.72, 1,241.19 and 461.22 is: 693.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.72 : 1,241.19 = 461.22 : x
  2. Step 2: Convert to fraction form
    825.72/1,241.19 = 461.22/x
  3. Step 3: Cross multiply
    825.72x = 1,241.19 × 461.22
  4. Step 4: Simplify right side
    825.72x = 572,461.65
  5. Step 5: Solve for x
    x = 572,461.65/825.72
  6. Step 6: Final answer
    x = 693.29

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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.