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Finding the Fourth Proportional to 936.41, 1,402.99 and 743.63

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Solution

The fourth proportional to 936.41, 1,402.99 and 743.63 is: 1,114.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.41 : 1,402.99 = 743.63 : x
  2. Step 2: Convert to fraction form
    936.41/1,402.99 = 743.63/x
  3. Step 3: Cross multiply
    936.41x = 1,402.99 × 743.63
  4. Step 4: Simplify right side
    936.41x = 1,043,296.58
  5. Step 5: Solve for x
    x = 1,043,296.58/936.41
  6. Step 6: Final answer
    x = 1,114.15

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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.