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Finding the Fourth Proportional to 411.91, 617.86 and 123.34

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Solution

The fourth proportional to 411.91, 617.86 and 123.34 is: 185.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.91 : 617.86 = 123.34 : x
  2. Step 2: Convert to fraction form
    411.91/617.86 = 123.34/x
  3. Step 3: Cross multiply
    411.91x = 617.86 × 123.34
  4. Step 4: Simplify right side
    411.91x = 76,206.85
  5. Step 5: Solve for x
    x = 76,206.85/411.91
  6. Step 6: Final answer
    x = 185.01

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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.