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Finding the Fourth Proportional to 936.80, 1,404.04 and 416.20

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Solution

The fourth proportional to 936.80, 1,404.04 and 416.20 is: 623.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.80 : 1,404.04 = 416.20 : x
  2. Step 2: Convert to fraction form
    936.80/1,404.04 = 416.20/x
  3. Step 3: Cross multiply
    936.80x = 1,404.04 × 416.20
  4. Step 4: Simplify right side
    936.80x = 584,361.45
  5. Step 5: Solve for x
    x = 584,361.45/936.80
  6. Step 6: Final answer
    x = 623.78

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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.