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Finding the Fourth Proportional to 936.54, 1,403.67 and 415.42

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Solution

The fourth proportional to 936.54, 1,403.67 and 415.42 is: 622.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.54 : 1,403.67 = 415.42 : x
  2. Step 2: Convert to fraction form
    936.54/1,403.67 = 415.42/x
  3. Step 3: Cross multiply
    936.54x = 1,403.67 × 415.42
  4. Step 4: Simplify right side
    936.54x = 583,112.59
  5. Step 5: Solve for x
    x = 583,112.59/936.54
  6. Step 6: Final answer
    x = 622.62

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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.