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Finding the Fourth Proportional to 611.55, 843.36 and 412.41

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Solution

The fourth proportional to 611.55, 843.36 and 412.41 is: 568.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.55 : 843.36 = 412.41 : x
  2. Step 2: Convert to fraction form
    611.55/843.36 = 412.41/x
  3. Step 3: Cross multiply
    611.55x = 843.36 × 412.41
  4. Step 4: Simplify right side
    611.55x = 347,812.40
  5. Step 5: Solve for x
    x = 347,812.40/611.55
  6. Step 6: Final answer
    x = 568.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.