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Finding the Fourth Proportional to 412.57, 618.81 and 123.99

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Solution

The fourth proportional to 412.57, 618.81 and 123.99 is: 185.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.57 : 618.81 = 123.99 : x
  2. Step 2: Convert to fraction form
    412.57/618.81 = 123.99/x
  3. Step 3: Cross multiply
    412.57x = 618.81 × 123.99
  4. Step 4: Simplify right side
    412.57x = 76,726.25
  5. Step 5: Solve for x
    x = 76,726.25/412.57
  6. Step 6: Final answer
    x = 185.97

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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.