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Finding the Fourth Proportional to 936.35, 1,403.59 and 772.33

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Solution

The fourth proportional to 936.35, 1,403.59 and 772.33 is: 1,157.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.35 : 1,403.59 = 772.33 : x
  2. Step 2: Convert to fraction form
    936.35/1,403.59 = 772.33/x
  3. Step 3: Cross multiply
    936.35x = 1,403.59 × 772.33
  4. Step 4: Simplify right side
    936.35x = 1,084,029.22
  5. Step 5: Solve for x
    x = 1,084,029.22/936.35
  6. Step 6: Final answer
    x = 1,157.71

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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.