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Finding the Fourth Proportional to 412.99, 619.43 and 124.42

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Solution

The fourth proportional to 412.99, 619.43 and 124.42 is: 186.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.99 : 619.43 = 124.42 : x
  2. Step 2: Convert to fraction form
    412.99/619.43 = 124.42/x
  3. Step 3: Cross multiply
    412.99x = 619.43 × 124.42
  4. Step 4: Simplify right side
    412.99x = 77,069.48
  5. Step 5: Solve for x
    x = 77,069.48/412.99
  6. Step 6: Final answer
    x = 186.61

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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.