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Finding the Fourth Proportional to 436.90, 655.36 and 411.54

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Solution

The fourth proportional to 436.90, 655.36 and 411.54 is: 617.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.90 : 655.36 = 411.54 : x
  2. Step 2: Convert to fraction form
    436.90/655.36 = 411.54/x
  3. Step 3: Cross multiply
    436.90x = 655.36 × 411.54
  4. Step 4: Simplify right side
    436.90x = 269,706.85
  5. Step 5: Solve for x
    x = 269,706.85/436.90
  6. Step 6: Final answer
    x = 617.32

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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.