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Finding the Fourth Proportional to 411.93, 617.90 and 123.57

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Solution

The fourth proportional to 411.93, 617.90 and 123.57 is: 185.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.93 : 617.90 = 123.57 : x
  2. Step 2: Convert to fraction form
    411.93/617.90 = 123.57/x
  3. Step 3: Cross multiply
    411.93x = 617.90 × 123.57
  4. Step 4: Simplify right side
    411.93x = 76,353.90
  5. Step 5: Solve for x
    x = 76,353.90/411.93
  6. Step 6: Final answer
    x = 185.36

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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.