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Finding the Fourth Proportional to 441.26, 661.75 and 412.50

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Solution

The fourth proportional to 441.26, 661.75 and 412.50 is: 618.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.26 : 661.75 = 412.50 : x
  2. Step 2: Convert to fraction form
    441.26/661.75 = 412.50/x
  3. Step 3: Cross multiply
    441.26x = 661.75 × 412.50
  4. Step 4: Simplify right side
    441.26x = 272,971.88
  5. Step 5: Solve for x
    x = 272,971.88/441.26
  6. Step 6: Final answer
    x = 618.62

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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.