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Finding the Fourth Proportional to 936.97, 1,403.90 and 416.19

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Solution

The fourth proportional to 936.97, 1,403.90 and 416.19 is: 623.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.97 : 1,403.90 = 416.19 : x
  2. Step 2: Convert to fraction form
    936.97/1,403.90 = 416.19/x
  3. Step 3: Cross multiply
    936.97x = 1,403.90 × 416.19
  4. Step 4: Simplify right side
    936.97x = 584,282.12
  5. Step 5: Solve for x
    x = 584,282.12/936.97
  6. Step 6: Final answer
    x = 623.59

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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.