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Finding the Fourth Proportional to 936.06, 1,404.41 and 416.42

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Solution

The fourth proportional to 936.06, 1,404.41 and 416.42 is: 624.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.06 : 1,404.41 = 416.42 : x
  2. Step 2: Convert to fraction form
    936.06/1,404.41 = 416.42/x
  3. Step 3: Cross multiply
    936.06x = 1,404.41 × 416.42
  4. Step 4: Simplify right side
    936.06x = 584,816.62
  5. Step 5: Solve for x
    x = 584,816.62/936.06
  6. Step 6: Final answer
    x = 624.77

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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.