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Finding the Fourth Proportional to 936.17, 1,404.26 and 416.05

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Solution

The fourth proportional to 936.17, 1,404.26 and 416.05 is: 624.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.17 : 1,404.26 = 416.05 : x
  2. Step 2: Convert to fraction form
    936.17/1,404.26 = 416.05/x
  3. Step 3: Cross multiply
    936.17x = 1,404.26 × 416.05
  4. Step 4: Simplify right side
    936.17x = 584,240.62
  5. Step 5: Solve for x
    x = 584,240.62/936.17
  6. Step 6: Final answer
    x = 624.08

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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.